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Finding the Fourth Proportional to 6,501.62, 8,972.17 and 3,517.39

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Solution

The fourth proportional to 6,501.62, 8,972.17 and 3,517.39 is: 4,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.62 : 8,972.17 = 3,517.39 : x
  2. Step 2: Convert to fraction form
    6,501.62/8,972.17 = 3,517.39/x
  3. Step 3: Cross multiply
    6,501.62x = 8,972.17 × 3,517.39
  4. Step 4: Simplify right side
    6,501.62x = 31,558,585.61
  5. Step 5: Solve for x
    x = 31,558,585.61/6,501.62
  6. Step 6: Final answer
    x = 4,853.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.