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Finding the Fourth Proportional to 10,974.24, 16,469.68 and 8,503.04

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Solution

The fourth proportional to 10,974.24, 16,469.68 and 8,503.04 is: 12,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.24 : 16,469.68 = 8,503.04 : x
  2. Step 2: Convert to fraction form
    10,974.24/16,469.68 = 8,503.04/x
  3. Step 3: Cross multiply
    10,974.24x = 16,469.68 × 8,503.04
  4. Step 4: Simplify right side
    10,974.24x = 140,042,347.83
  5. Step 5: Solve for x
    x = 140,042,347.83/10,974.24
  6. Step 6: Final answer
    x = 12,761.01

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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.