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Finding the Fourth Proportional to 11,173.43, 16,754.99 and 6,494.78

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Solution

The fourth proportional to 11,173.43, 16,754.99 and 6,494.78 is: 9,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.43 : 16,754.99 = 6,494.78 : x
  2. Step 2: Convert to fraction form
    11,173.43/16,754.99 = 6,494.78/x
  3. Step 3: Cross multiply
    11,173.43x = 16,754.99 × 6,494.78
  4. Step 4: Simplify right side
    11,173.43x = 108,819,857.70
  5. Step 5: Solve for x
    x = 108,819,857.70/11,173.43
  6. Step 6: Final answer
    x = 9,739.16

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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.