A bouk soid 38.600 copies in its first month of release. Suppote this represestents \( 6.6 \% \) of the number of copies sold to ceste. How many copies have bern sold to diate? Round your answer to the nearest whole number;

To find the total number of copies sold to date, we can set up a proportion based on the information given: Let \( x \) be the total number of copies sold to date. Given that 38,600 copies represent 6.6% of the total number of copies sold to date, we can write the proportion as: \[ \frac{38,600}{x} = \frac{6.6}{100} \] To solve for \( x \), we can cross multiply and then solve for \( x \): \[ 38,600 \times 100 = 6.6 \times x \] \[ 3,860,000 = 6.6x \] \[ x = \frac{3,860,000}{6.6} \] Now, we can calculate the value of \( x \) and round it to the nearest whole number. Calculate the value by following steps: - step0: Calculate: \(\frac{3860000}{6.6}\) - step1: Convert the expressions: \(\frac{3860000}{\frac{33}{5}}\) - step2: Multiply by the reciprocal: \(3860000\times \frac{5}{33}\) - step3: Multiply: \(\frac{3860000\times 5}{33}\) - step4: Multiply: \(\frac{19300000}{33}\) The total number of copies sold to date is approximately 584,848.48. Rounding this to the nearest whole number, we get 584,848 copies.