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Finding the Fourth Proportional to 6,891.38, 10,337.07 and 1,697.25

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Solution

The fourth proportional to 6,891.38, 10,337.07 and 1,697.25 is: 2,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.38 : 10,337.07 = 1,697.25 : x
  2. Step 2: Convert to fraction form
    6,891.38/10,337.07 = 1,697.25/x
  3. Step 3: Cross multiply
    6,891.38x = 10,337.07 × 1,697.25
  4. Step 4: Simplify right side
    6,891.38x = 17,544,592.06
  5. Step 5: Solve for x
    x = 17,544,592.06/6,891.38
  6. Step 6: Final answer
    x = 2,545.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.