The formula to calculate the new number from scale is:
\[ a = b \times sf \]
Where:
The scale factor is a ratio or magnitude of increase that you wish to apply to an original number. Usually, the scale is referred to as a magnitude or order change of a number. For example, take the number 1 and apply an order of magnitude of 10 to this and you get 10 as the number. The scale would be defined as a 1:10 scale.
Example:
Calculation:
\[ a = 5 \times 3 = 15 \]