We need to find the ratio miles to days in order to see how many miles she will cover in 6 days. This ratio is equal to
[tex]\text{ratio}=\frac{3.7\text{ miles}}{4\text{ days}}=0.925\frac{miles}{\text{day}}[/tex]that is, she walks 0.925 miles per day. Then, in 6 days, she will walk
[tex]6\text{days}\times0.925\frac{miles}{days}=5.5\text{ miles}[/tex]that is, she will walk 5.5 miles in 6 days.