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Finding the Fourth Proportional to 10,512.62, 15,747.38 and 8,421.30

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Solution

The fourth proportional to 10,512.62, 15,747.38 and 8,421.30 is: 12,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.62 : 15,747.38 = 8,421.30 : x
  2. Step 2: Convert to fraction form
    10,512.62/15,747.38 = 8,421.30/x
  3. Step 3: Cross multiply
    10,512.62x = 15,747.38 × 8,421.30
  4. Step 4: Simplify right side
    10,512.62x = 132,613,411.19
  5. Step 5: Solve for x
    x = 132,613,411.19/10,512.62
  6. Step 6: Final answer
    x = 12,614.69

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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.