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Finding the Fourth Proportional to 6,956.97, 10,432.38 and 5,001

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Solution

The fourth proportional to 6,956.97, 10,432.38 and 5,001 is: 7,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.97 : 10,432.38 = 5,001 : x
  2. Step 2: Convert to fraction form
    6,956.97/10,432.38 = 5,001/x
  3. Step 3: Cross multiply
    6,956.97x = 10,432.38 × 5,001
  4. Step 4: Simplify right side
    6,956.97x = 52,172,332.38
  5. Step 5: Solve for x
    x = 52,172,332.38/6,956.97
  6. Step 6: Final answer
    x = 7,499.29

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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.