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A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x. For example, doubling distances corresponds to a scale factor of two for distance, while cutting a cake in half results in pieces with a scale factor of one half. The basic equation for it is image over primeage. [In the field] of measurements, the scale factor of an [instrument] is sometimes referred to as sensitivity. The ratio of any two [corresponding] lengths in two similar geometric figures is also called a scale factor.
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