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Finding the Fourth Proportional to 10,170.76, 15,230.22 and 4,963

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Solution

The fourth proportional to 10,170.76, 15,230.22 and 4,963 is: 7,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.76 : 15,230.22 = 4,963 : x
  2. Step 2: Convert to fraction form
    10,170.76/15,230.22 = 4,963/x
  3. Step 3: Cross multiply
    10,170.76x = 15,230.22 × 4,963
  4. Step 4: Simplify right side
    10,170.76x = 75,587,581.86
  5. Step 5: Solve for x
    x = 75,587,581.86/10,170.76
  6. Step 6: Final answer
    x = 7,431.85

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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.