x = 7 is the answer
10.5 maps to x with a scale factor of 2/3:
x = 10.5 × 2/3
x = 7
What is a scale factor?
The ratio of any two corresponding lengths in two similar geometric figures.
A scale factor is a number that multiplies (“scales”) a quantity. For example, the “C” in y = Cx is the scale factor for x. If the equation were y = 5x, then the factor would be 5.
How do you find the scalar factor?
The basic formula that is used for calculating the scale factor is, Scale factor = Dimension of the new shape ÷ Dimension of the original shape. In case, if the original figure is scaled up, the formula is written as, Scale factor = Larger figure dimensions ÷ Smaller figure dimensions.
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