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Finding the Fourth Proportional to 6,532.14, 9,799.29 and 2,149.50

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Solution

The fourth proportional to 6,532.14, 9,799.29 and 2,149.50 is: 3,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.14 : 9,799.29 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    6,532.14/9,799.29 = 2,149.50/x
  3. Step 3: Cross multiply
    6,532.14x = 9,799.29 × 2,149.50
  4. Step 4: Simplify right side
    6,532.14x = 21,063,573.86
  5. Step 5: Solve for x
    x = 21,063,573.86/6,532.14
  6. Step 6: Final answer
    x = 3,224.61

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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.