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Four things: 1 When you shoot an object, the photo will have a virtual DPI - or actually PPI - related to that object. When you resize the photo that value necessarily changes. 2 OCR doesn't care about DPI. It only cares about having sufficient number of pixels to represent the letter, "Pixels Per Letterform", that changes when you resize the photo. 3 DPI values that any application writes to values are arbitrary and symbolic. They have (almost always) no relevance in image processing. Only pixels count. 4 So, if you don't have enough pixels after resizing, you must not resize.
