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Finding the Fourth Proportional to 13,841.92, 19,101.24 and 7,874.08

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Solution

The fourth proportional to 13,841.92, 19,101.24 and 7,874.08 is: 10,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.92 : 19,101.24 = 7,874.08 : x
  2. Step 2: Convert to fraction form
    13,841.92/19,101.24 = 7,874.08/x
  3. Step 3: Cross multiply
    13,841.92x = 19,101.24 × 7,874.08
  4. Step 4: Simplify right side
    13,841.92x = 150,404,691.86
  5. Step 5: Solve for x
    x = 150,404,691.86/13,841.92
  6. Step 6: Final answer
    x = 10,865.88

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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.