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Finding the Fourth Proportional to 7,151.68, 10,724.89 and 2,470.49

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Solution

The fourth proportional to 7,151.68, 10,724.89 and 2,470.49 is: 3,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.68 : 10,724.89 = 2,470.49 : x
  2. Step 2: Convert to fraction form
    7,151.68/10,724.89 = 2,470.49/x
  3. Step 3: Cross multiply
    7,151.68x = 10,724.89 × 2,470.49
  4. Step 4: Simplify right side
    7,151.68x = 26,495,733.50
  5. Step 5: Solve for x
    x = 26,495,733.50/7,151.68
  6. Step 6: Final answer
    x = 3,704.83

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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.