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Finding the Fourth Proportional to 11,600.13, 17,400.12 and 2,834.97

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Solution

The fourth proportional to 11,600.13, 17,400.12 and 2,834.97 is: 4,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.13 : 17,400.12 = 2,834.97 : x
  2. Step 2: Convert to fraction form
    11,600.13/17,400.12 = 2,834.97/x
  3. Step 3: Cross multiply
    11,600.13x = 17,400.12 × 2,834.97
  4. Step 4: Simplify right side
    11,600.13x = 49,328,818.20
  5. Step 5: Solve for x
    x = 49,328,818.20/11,600.13
  6. Step 6: Final answer
    x = 4,252.44

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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.