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Finding the Fourth Proportional to 11,651.41, 17,480.31 and 9,878.12

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Solution

The fourth proportional to 11,651.41, 17,480.31 and 9,878.12 is: 14,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.41 : 17,480.31 = 9,878.12 : x
  2. Step 2: Convert to fraction form
    11,651.41/17,480.31 = 9,878.12/x
  3. Step 3: Cross multiply
    11,651.41x = 17,480.31 × 9,878.12
  4. Step 4: Simplify right side
    11,651.41x = 172,672,540.92
  5. Step 5: Solve for x
    x = 172,672,540.92/11,651.41
  6. Step 6: Final answer
    x = 14,819.88

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1.5x scale

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.