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Finding the Fourth Proportional to 8,324.60, 11,472.14 and 5,962.64

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Solution

The fourth proportional to 8,324.60, 11,472.14 and 5,962.64 is: 8,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.60 : 11,472.14 = 5,962.64 : x
  2. Step 2: Convert to fraction form
    8,324.60/11,472.14 = 5,962.64/x
  3. Step 3: Cross multiply
    8,324.60x = 11,472.14 × 5,962.64
  4. Step 4: Simplify right side
    8,324.60x = 68,404,240.85
  5. Step 5: Solve for x
    x = 68,404,240.85/8,324.60
  6. Step 6: Final answer
    x = 8,217.12

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1.5x scale

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.