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Finding the Fourth Proportional to 6,465.87, 9,691.90 and 3,686.56

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Solution

The fourth proportional to 6,465.87, 9,691.90 and 3,686.56 is: 5,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.87 : 9,691.90 = 3,686.56 : x
  2. Step 2: Convert to fraction form
    6,465.87/9,691.90 = 3,686.56/x
  3. Step 3: Cross multiply
    6,465.87x = 9,691.90 × 3,686.56
  4. Step 4: Simplify right side
    6,465.87x = 35,729,722.40
  5. Step 5: Solve for x
    x = 35,729,722.40/6,465.87
  6. Step 6: Final answer
    x = 5,525.90

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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.