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Finding the Fourth Proportional to 6,872.76, 10,301.17 and 3,167.20

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Solution

The fourth proportional to 6,872.76, 10,301.17 and 3,167.20 is: 4,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.76 : 10,301.17 = 3,167.20 : x
  2. Step 2: Convert to fraction form
    6,872.76/10,301.17 = 3,167.20/x
  3. Step 3: Cross multiply
    6,872.76x = 10,301.17 × 3,167.20
  4. Step 4: Simplify right side
    6,872.76x = 32,625,883.46
  5. Step 5: Solve for x
    x = 32,625,883.46/6,872.76
  6. Step 6: Final answer
    x = 4,747.13

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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.