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Finding the Fourth Proportional to 6,584.09, 9,874.31 and 3,250.73

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Solution

The fourth proportional to 6,584.09, 9,874.31 and 3,250.73 is: 4,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.09 : 9,874.31 = 3,250.73 : x
  2. Step 2: Convert to fraction form
    6,584.09/9,874.31 = 3,250.73/x
  3. Step 3: Cross multiply
    6,584.09x = 9,874.31 × 3,250.73
  4. Step 4: Simplify right side
    6,584.09x = 32,098,724.18
  5. Step 5: Solve for x
    x = 32,098,724.18/6,584.09
  6. Step 6: Final answer
    x = 4,875.20

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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.