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Finding the Fourth Proportional to 11,463.50, 17,197.68 and 6,198.50

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Solution

The fourth proportional to 11,463.50, 17,197.68 and 6,198.50 is: 9,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.50 : 17,197.68 = 6,198.50 : x
  2. Step 2: Convert to fraction form
    11,463.50/17,197.68 = 6,198.50/x
  3. Step 3: Cross multiply
    11,463.50x = 17,197.68 × 6,198.50
  4. Step 4: Simplify right side
    11,463.50x = 106,599,819.48
  5. Step 5: Solve for x
    x = 106,599,819.48/11,463.50
  6. Step 6: Final answer
    x = 9,299.06

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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.