[tex] \frac{1mi}{1.61km} = \frac{10mi}{x km} [/tex]
To solve, first multiply both sides by 'x' and by 1.61. Then divide common terms:
[tex](x km)(1 mi) = (10mi)(1.61km) [/tex]
Then divide by 1 mile:
[tex]x km = \frac{(10mi)(1.61km)}{1mi}[/tex]
Compute quantities and cancel alike units:
[tex] x km = 16.1 km[/tex]