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Finding the Fourth Proportional to 10,593.94, 15,891.02 and 3,198.47

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Solution

The fourth proportional to 10,593.94, 15,891.02 and 3,198.47 is: 4,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.94 : 15,891.02 = 3,198.47 : x
  2. Step 2: Convert to fraction form
    10,593.94/15,891.02 = 3,198.47/x
  3. Step 3: Cross multiply
    10,593.94x = 15,891.02 × 3,198.47
  4. Step 4: Simplify right side
    10,593.94x = 50,826,879.28
  5. Step 5: Solve for x
    x = 50,826,879.28/10,593.94
  6. Step 6: Final answer
    x = 4,797.73

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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.