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Finding the Fourth Proportional to 9,610.14, 14,415.21 and 5,255.22

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Solution

The fourth proportional to 9,610.14, 14,415.21 and 5,255.22 is: 7,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.14 : 14,415.21 = 5,255.22 : x
  2. Step 2: Convert to fraction form
    9,610.14/14,415.21 = 5,255.22/x
  3. Step 3: Cross multiply
    9,610.14x = 14,415.21 × 5,255.22
  4. Step 4: Simplify right side
    9,610.14x = 75,755,099.90
  5. Step 5: Solve for x
    x = 75,755,099.90/9,610.14
  6. Step 6: Final answer
    x = 7,882.83

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Similar ratio
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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.