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Finding the Fourth Proportional to 27,884.25, 41,818.17 and 8,158.12

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Solution

The fourth proportional to 27,884.25, 41,818.17 and 8,158.12 is: 12,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.25 : 41,818.17 = 8,158.12 : x
  2. Step 2: Convert to fraction form
    27,884.25/41,818.17 = 8,158.12/x
  3. Step 3: Cross multiply
    27,884.25x = 41,818.17 × 8,158.12
  4. Step 4: Simplify right side
    27,884.25x = 341,157,575.09
  5. Step 5: Solve for x
    x = 341,157,575.09/27,884.25
  6. Step 6: Final answer
    x = 12,234.78

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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.