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Finding the Fourth Proportional to 24,315.14, 36,472.72 and 5,847.14

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Solution

The fourth proportional to 24,315.14, 36,472.72 and 5,847.14 is: 8,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.14 : 36,472.72 = 5,847.14 : x
  2. Step 2: Convert to fraction form
    24,315.14/36,472.72 = 5,847.14/x
  3. Step 3: Cross multiply
    24,315.14x = 36,472.72 × 5,847.14
  4. Step 4: Simplify right side
    24,315.14x = 213,261,100.02
  5. Step 5: Solve for x
    x = 213,261,100.02/24,315.14
  6. Step 6: Final answer
    x = 8,770.71

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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.