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Finding the Fourth Proportional to 10,732.67, 16,103.41 and 6,046.91

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Solution

The fourth proportional to 10,732.67, 16,103.41 and 6,046.91 is: 9,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.67 : 16,103.41 = 6,046.91 : x
  2. Step 2: Convert to fraction form
    10,732.67/16,103.41 = 6,046.91/x
  3. Step 3: Cross multiply
    10,732.67x = 16,103.41 × 6,046.91
  4. Step 4: Simplify right side
    10,732.67x = 97,375,775.33
  5. Step 5: Solve for x
    x = 97,375,775.33/10,732.67
  6. Step 6: Final answer
    x = 9,072.84

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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.