To estimate the length of the wall in inches using compatible numbers, we can round Boone's shoe length to a nearby whole number. Boone's shoe measures 9.8 inches long, so we can round it to 10 inches for easier calculation.
Next, we multiply the length of the wall in shoes by the rounded length of the shoe:
\[ \text{Length of wall} \approx 27 , \text{shoes} \times 10 , \text{inches/shoe} = 270 , \text{inches} \]
Therefore, the estimated length of the wall is approximately 270 inches.