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Finding the Fourth Proportional to 11,132.50, 16,684.17 and 6,204.46

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Solution

The fourth proportional to 11,132.50, 16,684.17 and 6,204.46 is: 9,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.50 : 16,684.17 = 6,204.46 : x
  2. Step 2: Convert to fraction form
    11,132.50/16,684.17 = 6,204.46/x
  3. Step 3: Cross multiply
    11,132.50x = 16,684.17 × 6,204.46
  4. Step 4: Simplify right side
    11,132.50x = 103,516,265.40
  5. Step 5: Solve for x
    x = 103,516,265.40/11,132.50
  6. Step 6: Final answer
    x = 9,298.56

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Why These Related Problems?

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