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Finding the Fourth Proportional to 24,922.80, 37,387.64 and 9,125.76

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Solution

The fourth proportional to 24,922.80, 37,387.64 and 9,125.76 is: 13,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.80 : 37,387.64 = 9,125.76 : x
  2. Step 2: Convert to fraction form
    24,922.80/37,387.64 = 9,125.76/x
  3. Step 3: Cross multiply
    24,922.80x = 37,387.64 × 9,125.76
  4. Step 4: Simplify right side
    24,922.80x = 341,190,629.61
  5. Step 5: Solve for x
    x = 341,190,629.61/24,922.80
  6. Step 6: Final answer
    x = 13,689.90

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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.