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Finding the Fourth Proportional to 10,311.41, 15,469.04 and 4,761.09

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Solution

The fourth proportional to 10,311.41, 15,469.04 and 4,761.09 is: 7,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.41 : 15,469.04 = 4,761.09 : x
  2. Step 2: Convert to fraction form
    10,311.41/15,469.04 = 4,761.09/x
  3. Step 3: Cross multiply
    10,311.41x = 15,469.04 × 4,761.09
  4. Step 4: Simplify right side
    10,311.41x = 73,649,503.56
  5. Step 5: Solve for x
    x = 73,649,503.56/10,311.41
  6. Step 6: Final answer
    x = 7,142.52

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1.5x scale

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.