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Finding the Fourth Proportional to 24,922.60, 37,385.70 and 8,294.20

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Solution

The fourth proportional to 24,922.60, 37,385.70 and 8,294.20 is: 12,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,922.60 : 37,385.70 = 8,294.20 : x
  2. Step 2: Convert to fraction form
    24,922.60/37,385.70 = 8,294.20/x
  3. Step 3: Cross multiply
    24,922.60x = 37,385.70 × 8,294.20
  4. Step 4: Simplify right side
    24,922.60x = 310,084,472.94
  5. Step 5: Solve for x
    x = 310,084,472.94/24,922.60
  6. Step 6: Final answer
    x = 12,441.90

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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.