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Finding the Fourth Proportional to 6,331.50, 9,496.22 and 2,820.65

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Solution

The fourth proportional to 6,331.50, 9,496.22 and 2,820.65 is: 4,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.50 : 9,496.22 = 2,820.65 : x
  2. Step 2: Convert to fraction form
    6,331.50/9,496.22 = 2,820.65/x
  3. Step 3: Cross multiply
    6,331.50x = 9,496.22 × 2,820.65
  4. Step 4: Simplify right side
    6,331.50x = 26,785,451.36
  5. Step 5: Solve for x
    x = 26,785,451.36/6,331.50
  6. Step 6: Final answer
    x = 4,230.51

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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.