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Finding the Fourth Proportional to 6,934.57, 10,398.21 and 3,424.42

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Solution

The fourth proportional to 6,934.57, 10,398.21 and 3,424.42 is: 5,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.57 : 10,398.21 = 3,424.42 : x
  2. Step 2: Convert to fraction form
    6,934.57/10,398.21 = 3,424.42/x
  3. Step 3: Cross multiply
    6,934.57x = 10,398.21 × 3,424.42
  4. Step 4: Simplify right side
    6,934.57x = 35,607,838.29
  5. Step 5: Solve for x
    x = 35,607,838.29/6,934.57
  6. Step 6: Final answer
    x = 5,134.83

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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.