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Finding the Fourth Proportional to 16,294.75, 24,442.13 and 3,982.75

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Solution

The fourth proportional to 16,294.75, 24,442.13 and 3,982.75 is: 5,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.75 : 24,442.13 = 3,982.75 : x
  2. Step 2: Convert to fraction form
    16,294.75/24,442.13 = 3,982.75/x
  3. Step 3: Cross multiply
    16,294.75x = 24,442.13 × 3,982.75
  4. Step 4: Simplify right side
    16,294.75x = 97,346,893.26
  5. Step 5: Solve for x
    x = 97,346,893.26/16,294.75
  6. Step 6: Final answer
    x = 5,974.13

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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.