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Finding the Fourth Proportional to 6,397.56, 9,589.44 and 3,103.32

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Solution

The fourth proportional to 6,397.56, 9,589.44 and 3,103.32 is: 4,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.56 : 9,589.44 = 3,103.32 : x
  2. Step 2: Convert to fraction form
    6,397.56/9,589.44 = 3,103.32/x
  3. Step 3: Cross multiply
    6,397.56x = 9,589.44 × 3,103.32
  4. Step 4: Simplify right side
    6,397.56x = 29,759,100.94
  5. Step 5: Solve for x
    x = 29,759,100.94/6,397.56
  6. Step 6: Final answer
    x = 4,651.63

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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.