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Finding the Fourth Proportional to 6,545.97, 9,818.85 and 1,615.71

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Solution

The fourth proportional to 6,545.97, 9,818.85 and 1,615.71 is: 2,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.97 : 9,818.85 = 1,615.71 : x
  2. Step 2: Convert to fraction form
    6,545.97/9,818.85 = 1,615.71/x
  3. Step 3: Cross multiply
    6,545.97x = 9,818.85 × 1,615.71
  4. Step 4: Simplify right side
    6,545.97x = 15,864,414.13
  5. Step 5: Solve for x
    x = 15,864,414.13/6,545.97
  6. Step 6: Final answer
    x = 2,423.54

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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.