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Finding the Fourth Proportional to 15,175.42, 22,761 and 6,408.32

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Solution

The fourth proportional to 15,175.42, 22,761 and 6,408.32 is: 9,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.42 : 22,761 = 6,408.32 : x
  2. Step 2: Convert to fraction form
    15,175.42/22,761 = 6,408.32/x
  3. Step 3: Cross multiply
    15,175.42x = 22,761 × 6,408.32
  4. Step 4: Simplify right side
    15,175.42x = 145,859,657.72
  5. Step 5: Solve for x
    x = 145,859,657.72/15,175.42
  6. Step 6: Final answer
    x = 9,611.57

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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.