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Finding the Fourth Proportional to 6,997.38, 9,657.81 and 4,882.74

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Solution

The fourth proportional to 6,997.38, 9,657.81 and 4,882.74 is: 6,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.38 : 9,657.81 = 4,882.74 : x
  2. Step 2: Convert to fraction form
    6,997.38/9,657.81 = 4,882.74/x
  3. Step 3: Cross multiply
    6,997.38x = 9,657.81 × 4,882.74
  4. Step 4: Simplify right side
    6,997.38x = 47,156,575.20
  5. Step 5: Solve for x
    x = 47,156,575.20/6,997.38
  6. Step 6: Final answer
    x = 6,739.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.