In a short admission essay, the last paragraph often should do a lot more than sum up the essay. In contrast, in a long academic essay the body paragraphs tend to lead the reader to a kind of plateau, followed by a "conclusion" with a markedly different feel: the reader knows the essay is ending. In long essays, the conclusion can consist of two or three paragraphs or even as much material as an entire admission essay. A successful scholarship essay, often having a length between that of a short admission essay and a long academic essay, exhibits the best of both kinds of conclusions.
In other words, a strong scholarship essay does not need to make the conclusion do the double duty of providing additional content and providing an ending statement at the same time, which is characteristic of a very short essay. Yet the conclusion of a scholarship essay should do more than simply sum up what has been presented so far. Likewise, a strong scholarship essay seldom needs a long concluding section. Most of the points to score have already been scored by the time the conclusion begins. Instead, consider the conclusion as your opportunity to move your readers from the plateau of your argument to the best place they should visit next. Remember the metaphor of taking your reader on a trip: from the plateau, you and your reader are best positioned to see the overall landscape and to make a decision about the next step.
The summary in the last paragraph should be clear (or in some particulars, implied), but some kind of intelligent, witty, perceptive, motivational, or otherwise interesting further remarks also should appear. What kind of further remarks you choose will depend on what seems most appropriate to your particular essay.