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Finding the Fourth Proportional to 16,149.26, 24,223.90 and 5,056.90

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Solution

The fourth proportional to 16,149.26, 24,223.90 and 5,056.90 is: 7,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.26 : 24,223.90 = 5,056.90 : x
  2. Step 2: Convert to fraction form
    16,149.26/24,223.90 = 5,056.90/x
  3. Step 3: Cross multiply
    16,149.26x = 24,223.90 × 5,056.90
  4. Step 4: Simplify right side
    16,149.26x = 122,497,839.91
  5. Step 5: Solve for x
    x = 122,497,839.91/16,149.26
  6. Step 6: Final answer
    x = 7,585.35

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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.