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Finding the Fourth Proportional to 16,400.70, 24,609.15 and 6,540.30

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Solution

The fourth proportional to 16,400.70, 24,609.15 and 6,540.30 is: 9,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.70 : 24,609.15 = 6,540.30 : x
  2. Step 2: Convert to fraction form
    16,400.70/24,609.15 = 6,540.30/x
  3. Step 3: Cross multiply
    16,400.70x = 24,609.15 × 6,540.30
  4. Step 4: Simplify right side
    16,400.70x = 160,951,223.75
  5. Step 5: Solve for x
    x = 160,951,223.75/16,400.70
  6. Step 6: Final answer
    x = 9,813.68

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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.