One way to convert between measurement systems

(customary and metric) is to use a proportion.

Another way to convert between systems is to multiply (from a larger unit to

a smaller unit) or divide (from a smaller unit to a larger unit) by a unit rate.

First, write the given scale factor as a ratio.

Then, set up a proportion to find the number of meters that are equal to 75 inches.

$\begin{array}{rcl}\frac{1\text{m}}{39.37\text{in.}}& =& \frac{x}{75\text{in.}}\\ \text{(}1\text{m)(}75\text{in.)}& =& \text{(}39.37\text{in.)(}x\text{)}\\ \frac{\text{(}1\text{m)(}75\text{in.)}}{39.37\text{in.}}& =& x\\ 1.905\text{m}& =& x\end{array}$

Another way to convert between measurement systems is to divide by a unit rate.

$75\text{in.}\xf7\frac{39.37\text{in.}}{1\text{m}}=1.905\text{m}$