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Finding the Fourth Proportional to 10,593.86, 15,890.90 and 3,198.38

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Solution

The fourth proportional to 10,593.86, 15,890.90 and 3,198.38 is: 4,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.86 : 15,890.90 = 3,198.38 : x
  2. Step 2: Convert to fraction form
    10,593.86/15,890.90 = 3,198.38/x
  3. Step 3: Cross multiply
    10,593.86x = 15,890.90 × 3,198.38
  4. Step 4: Simplify right side
    10,593.86x = 50,825,120.75
  5. Step 5: Solve for x
    x = 50,825,120.75/10,593.86
  6. Step 6: Final answer
    x = 4,797.60

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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.