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Finding the Fourth Proportional to 24,380.29, 36,566.70 and 7,738.15

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Solution

The fourth proportional to 24,380.29, 36,566.70 and 7,738.15 is: 11,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.29 : 36,566.70 = 7,738.15 : x
  2. Step 2: Convert to fraction form
    24,380.29/36,566.70 = 7,738.15/x
  3. Step 3: Cross multiply
    24,380.29x = 36,566.70 × 7,738.15
  4. Step 4: Simplify right side
    24,380.29x = 282,958,609.61
  5. Step 5: Solve for x
    x = 282,958,609.61/24,380.29
  6. Step 6: Final answer
    x = 11,606.04

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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.