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Finding the Fourth Proportional to 6,462.44, 9,694.45 and 2,302.87

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Solution

The fourth proportional to 6,462.44, 9,694.45 and 2,302.87 is: 3,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.44 : 9,694.45 = 2,302.87 : x
  2. Step 2: Convert to fraction form
    6,462.44/9,694.45 = 2,302.87/x
  3. Step 3: Cross multiply
    6,462.44x = 9,694.45 × 2,302.87
  4. Step 4: Simplify right side
    6,462.44x = 22,325,062.22
  5. Step 5: Solve for x
    x = 22,325,062.22/6,462.44
  6. Step 6: Final answer
    x = 3,454.59

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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.