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Finding the Fourth Proportional to 6,948.71, 9,589.16 and 3,761.95

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Solution

The fourth proportional to 6,948.71, 9,589.16 and 3,761.95 is: 5,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.71 : 9,589.16 = 3,761.95 : x
  2. Step 2: Convert to fraction form
    6,948.71/9,589.16 = 3,761.95/x
  3. Step 3: Cross multiply
    6,948.71x = 9,589.16 × 3,761.95
  4. Step 4: Simplify right side
    6,948.71x = 36,073,925.89
  5. Step 5: Solve for x
    x = 36,073,925.89/6,948.71
  6. Step 6: Final answer
    x = 5,191.45

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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.