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Finding the Fourth Proportional to 6,150, 8,487.24 and 3,667.44

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Solution

The fourth proportional to 6,150, 8,487.24 and 3,667.44 is: 5,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150 : 8,487.24 = 3,667.44 : x
  2. Step 2: Convert to fraction form
    6,150/8,487.24 = 3,667.44/x
  3. Step 3: Cross multiply
    6,150x = 8,487.24 × 3,667.44
  4. Step 4: Simplify right side
    6,150x = 31,126,443.47
  5. Step 5: Solve for x
    x = 31,126,443.47/6,150
  6. Step 6: Final answer
    x = 5,061.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.