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Finding the Fourth Proportional to 10,593.96, 15,891 and 3,198.48

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Solution

The fourth proportional to 10,593.96, 15,891 and 3,198.48 is: 4,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.96 : 15,891 = 3,198.48 : x
  2. Step 2: Convert to fraction form
    10,593.96/15,891 = 3,198.48/x
  3. Step 3: Cross multiply
    10,593.96x = 15,891 × 3,198.48
  4. Step 4: Simplify right side
    10,593.96x = 50,827,045.68
  5. Step 5: Solve for x
    x = 50,827,045.68/10,593.96
  6. Step 6: Final answer
    x = 4,797.74

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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.