To find the scale factor of the drawing, we need to express the two measurements in the same units. The scale given is 6 inches = 4 yards.
First, we convert yards to inches. Since 1 yard equals 36 inches, we calculate:
\[ 4 \text{ yards} = 4 \times 36 \text{ inches} = 144 \text{ inches} \]
Now, we can express the scale as:
\[ 6 \text{ inches} = 144 \text{ inches} \]
To find the scale factor, we divide both sides by 6:
\[ 1 \text{ inch} = \frac{144 \text{ inches}}{6} = 24 \text{ inches} \]
Thus, the scale factor in terms of inches is:
\[ 1 \text{ inch} : 24 \text{ inches} \]
Now, we can simplify this into a ratio of the lengths, giving us:
\[ 1 : 24 \]
Therefore, the scale factor of the drawing is:
\[ \boxed{1:24} \]
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