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Finding the Fourth Proportional to 10,593.50, 15,890.34 and 3,198.02

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Solution

The fourth proportional to 10,593.50, 15,890.34 and 3,198.02 is: 4,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.50 : 15,890.34 = 3,198.02 : x
  2. Step 2: Convert to fraction form
    10,593.50/15,890.34 = 3,198.02/x
  3. Step 3: Cross multiply
    10,593.50x = 15,890.34 × 3,198.02
  4. Step 4: Simplify right side
    10,593.50x = 50,817,545.68
  5. Step 5: Solve for x
    x = 50,817,545.68/10,593.50
  6. Step 6: Final answer
    x = 4,797.05

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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.