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Finding the Fourth Proportional to 16,542.40, 24,794.40 and 6,676.80

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Solution

The fourth proportional to 16,542.40, 24,794.40 and 6,676.80 is: 10,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.40 : 24,794.40 = 6,676.80 : x
  2. Step 2: Convert to fraction form
    16,542.40/24,794.40 = 6,676.80/x
  3. Step 3: Cross multiply
    16,542.40x = 24,794.40 × 6,676.80
  4. Step 4: Simplify right side
    16,542.40x = 165,547,249.92
  5. Step 5: Solve for x
    x = 165,547,249.92/16,542.40
  6. Step 6: Final answer
    x = 10,007.45

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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.