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Finding the Fourth Proportional to 8,337.27, 12,514.72 and 8,149.03

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Solution

The fourth proportional to 8,337.27, 12,514.72 and 8,149.03 is: 12,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.27 : 12,514.72 = 8,149.03 : x
  2. Step 2: Convert to fraction form
    8,337.27/12,514.72 = 8,149.03/x
  3. Step 3: Cross multiply
    8,337.27x = 12,514.72 × 8,149.03
  4. Step 4: Simplify right side
    8,337.27x = 101,982,787.98
  5. Step 5: Solve for x
    x = 101,982,787.98/8,337.27
  6. Step 6: Final answer
    x = 12,232.16

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1.5x scale

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.