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Finding the Fourth Proportional to 9,658.92, 13,324.60 and 6,300.24

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Solution

The fourth proportional to 9,658.92, 13,324.60 and 6,300.24 is: 8,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.92 : 13,324.60 = 6,300.24 : x
  2. Step 2: Convert to fraction form
    9,658.92/13,324.60 = 6,300.24/x
  3. Step 3: Cross multiply
    9,658.92x = 13,324.60 × 6,300.24
  4. Step 4: Simplify right side
    9,658.92x = 83,948,177.90
  5. Step 5: Solve for x
    x = 83,948,177.90/9,658.92
  6. Step 6: Final answer
    x = 8,691.26

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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.