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Finding the Fourth Proportional to 6,575.38, 9,857.31 and 2,474.26

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Solution

The fourth proportional to 6,575.38, 9,857.31 and 2,474.26 is: 3,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.38 : 9,857.31 = 2,474.26 : x
  2. Step 2: Convert to fraction form
    6,575.38/9,857.31 = 2,474.26/x
  3. Step 3: Cross multiply
    6,575.38x = 9,857.31 × 2,474.26
  4. Step 4: Simplify right side
    6,575.38x = 24,389,547.84
  5. Step 5: Solve for x
    x = 24,389,547.84/6,575.38
  6. Step 6: Final answer
    x = 3,709.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.