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Finding the Fourth Proportional to 6,667, 9,200.46 and 3,723

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Solution

The fourth proportional to 6,667, 9,200.46 and 3,723 is: 5,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667 : 9,200.46 = 3,723 : x
  2. Step 2: Convert to fraction form
    6,667/9,200.46 = 3,723/x
  3. Step 3: Cross multiply
    6,667x = 9,200.46 × 3,723
  4. Step 4: Simplify right side
    6,667x = 34,253,312.58
  5. Step 5: Solve for x
    x = 34,253,312.58/6,667
  6. Step 6: Final answer
    x = 5,137.74

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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.