Scale Measurements

Solve the following scale measurement word problems:

1. $\eqalign{\dfrac{1\text{ cm}}{1 \text{ mile}}&=\dfrac{11.4 \text{ cm}}{x}\\x&=11.4 \text{ miles}}$
2. $\eqalign{\dfrac{1\text{ inch}}{50 \text{ yards}}&=\dfrac{5.5 \text{ inches}}{x}\\x&=275 \text{ yards}\\ \dfrac{1\text{ inch}}{50 \text{ yards}}&=\dfrac{6.2 \text{ inches}}{x}\\x&=310 \text{ yards}\\&\text{35 yards longer}}$
3. $\eqalign{\dfrac{500\text{ miles}}{\dfrac{1}{2} \text{ inch}}&=\dfrac{3600 \text{ miles}}{x}\\500x&=1800\\x&=3.6 \text{ inches}}$
4. $\eqalign{\dfrac{2\text{ inches}}{14 \text{ yards}}&=\dfrac{5 \text{ inches}}{x}\\x&=35 \text{ yards}}$
5. $\eqalign{\dfrac{52\text{ inces}}{18 \text{ inches}}&=\dfrac{3.5 \text{ yards}}{x}\\x&=1.2 \text{ yards}}$
6. $\eqalign{\dfrac{12\text{ cm}}{60 \text{ meters}}&=\dfrac{1 \text{ cm}}{x}\\x&=5 \text{ meters}}$