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Finding the Fourth Proportional to 12,342.70, 17,034.87 and 7,861.78

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Solution

The fourth proportional to 12,342.70, 17,034.87 and 7,861.78 is: 10,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.70 : 17,034.87 = 7,861.78 : x
  2. Step 2: Convert to fraction form
    12,342.70/17,034.87 = 7,861.78/x
  3. Step 3: Cross multiply
    12,342.70x = 17,034.87 × 7,861.78
  4. Step 4: Simplify right side
    12,342.70x = 133,924,400.27
  5. Step 5: Solve for x
    x = 133,924,400.27/12,342.70
  6. Step 6: Final answer
    x = 10,850.49

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1.5x scale

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.