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Assume your maximum print size is 8x10 (just for conversation). Further assume that you always use the maximum dpi for printing of 300dpi. That means you need a 2400 x 3000 pixel image. So, if the photo you are scanning is 4x5 say, and you will NOT be cropping it, you will need to scan at 600dpi to get a 2400 x 3000 pixel file. Get it?
So as a test, what scan resolution would you need if the image you are going to scan is 2 x 2.5?
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I need to scan at 1200 dpi to get 8x10 from 2x2.5. Did I pass the test?
So let me clarify this from both of you photomauler and catia,
The image given to the printer as input should be around 300 dpi(rather 300 pixels per inch).
Going by this logic and given my requirement of maximum enlargement of 4 times, I need a 1200 dpi scanner. This ensures that any image magnified 4 times(by using scanning at 1200dpi , the maximum) can be printed at photo quality.