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Finding the Fourth Proportional to 6,948.60, 9,589.01 and 3,761.90

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Solution

The fourth proportional to 6,948.60, 9,589.01 and 3,761.90 is: 5,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.60 : 9,589.01 = 3,761.90 : x
  2. Step 2: Convert to fraction form
    6,948.60/9,589.01 = 3,761.90/x
  3. Step 3: Cross multiply
    6,948.60x = 9,589.01 × 3,761.90
  4. Step 4: Simplify right side
    6,948.60x = 36,072,829.96
  5. Step 5: Solve for x
    x = 36,072,829.96/6,948.60
  6. Step 6: Final answer
    x = 5,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.