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Finding the Fourth Proportional to 6,979.61, 10,470.10 and 2,297.71

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Solution

The fourth proportional to 6,979.61, 10,470.10 and 2,297.71 is: 3,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.61 : 10,470.10 = 2,297.71 : x
  2. Step 2: Convert to fraction form
    6,979.61/10,470.10 = 2,297.71/x
  3. Step 3: Cross multiply
    6,979.61x = 10,470.10 × 2,297.71
  4. Step 4: Simplify right side
    6,979.61x = 24,057,221.55
  5. Step 5: Solve for x
    x = 24,057,221.55/6,979.61
  6. Step 6: Final answer
    x = 3,446.78

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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.