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Finding the Fourth Proportional to 6,950.42, 9,591.62 and 3,806.61

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Solution

The fourth proportional to 6,950.42, 9,591.62 and 3,806.61 is: 5,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.42 : 9,591.62 = 3,806.61 : x
  2. Step 2: Convert to fraction form
    6,950.42/9,591.62 = 3,806.61/x
  3. Step 3: Cross multiply
    6,950.42x = 9,591.62 × 3,806.61
  4. Step 4: Simplify right side
    6,950.42x = 36,511,537.58
  5. Step 5: Solve for x
    x = 36,511,537.58/6,950.42
  6. Step 6: Final answer
    x = 5,253.14

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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.