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Finding the Fourth Proportional to 6,950, 9,591 and 3,806.21

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Solution

The fourth proportional to 6,950, 9,591 and 3,806.21 is: 5,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950 : 9,591 = 3,806.21 : x
  2. Step 2: Convert to fraction form
    6,950/9,591 = 3,806.21/x
  3. Step 3: Cross multiply
    6,950x = 9,591 × 3,806.21
  4. Step 4: Simplify right side
    6,950x = 36,505,360.11
  5. Step 5: Solve for x
    x = 36,505,360.11/6,950
  6. Step 6: Final answer
    x = 5,252.57

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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.