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Finding the Fourth Proportional to 16,502.70, 24,757.89 and 5,408.70

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Solution

The fourth proportional to 16,502.70, 24,757.89 and 5,408.70 is: 8,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.70 : 24,757.89 = 5,408.70 : x
  2. Step 2: Convert to fraction form
    16,502.70/24,757.89 = 5,408.70/x
  3. Step 3: Cross multiply
    16,502.70x = 24,757.89 × 5,408.70
  4. Step 4: Simplify right side
    16,502.70x = 133,907,999.64
  5. Step 5: Solve for x
    x = 133,907,999.64/16,502.70
  6. Step 6: Final answer
    x = 8,114.31

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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.