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Finding the Fourth Proportional to 16,327.98, 24,481.44 and 6,974.10

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Solution

The fourth proportional to 16,327.98, 24,481.44 and 6,974.10 is: 10,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327.98 : 24,481.44 = 6,974.10 : x
  2. Step 2: Convert to fraction form
    16,327.98/24,481.44 = 6,974.10/x
  3. Step 3: Cross multiply
    16,327.98x = 24,481.44 × 6,974.10
  4. Step 4: Simplify right side
    16,327.98x = 170,736,010.70
  5. Step 5: Solve for x
    x = 170,736,010.70/16,327.98
  6. Step 6: Final answer
    x = 10,456.65

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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.