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Finding the Fourth Proportional to 16,404.48, 24,608.40 and 6,542.40

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Solution

The fourth proportional to 16,404.48, 24,608.40 and 6,542.40 is: 9,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.48 : 24,608.40 = 6,542.40 : x
  2. Step 2: Convert to fraction form
    16,404.48/24,608.40 = 6,542.40/x
  3. Step 3: Cross multiply
    16,404.48x = 24,608.40 × 6,542.40
  4. Step 4: Simplify right side
    16,404.48x = 160,997,996.16
  5. Step 5: Solve for x
    x = 160,997,996.16/16,404.48
  6. Step 6: Final answer
    x = 9,814.27

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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.