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Finding the Fourth Proportional to 6,593.86, 9,888 and 3,471.90

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Solution

The fourth proportional to 6,593.86, 9,888 and 3,471.90 is: 5,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.86 : 9,888 = 3,471.90 : x
  2. Step 2: Convert to fraction form
    6,593.86/9,888 = 3,471.90/x
  3. Step 3: Cross multiply
    6,593.86x = 9,888 × 3,471.90
  4. Step 4: Simplify right side
    6,593.86x = 34,330,147.20
  5. Step 5: Solve for x
    x = 34,330,147.20/6,593.86
  6. Step 6: Final answer
    x = 5,206.38

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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.