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Finding the Fourth Proportional to 6,392.34, 9,589.72 and 2,496.50

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Solution

The fourth proportional to 6,392.34, 9,589.72 and 2,496.50 is: 3,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.34 : 9,589.72 = 2,496.50 : x
  2. Step 2: Convert to fraction form
    6,392.34/9,589.72 = 2,496.50/x
  3. Step 3: Cross multiply
    6,392.34x = 9,589.72 × 2,496.50
  4. Step 4: Simplify right side
    6,392.34x = 23,940,735.98
  5. Step 5: Solve for x
    x = 23,940,735.98/6,392.34
  6. Step 6: Final answer
    x = 3,745.22

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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.