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Finding the Fourth Proportional to 6,443.20, 9,667.90 and 3,154.50

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Solution

The fourth proportional to 6,443.20, 9,667.90 and 3,154.50 is: 4,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.20 : 9,667.90 = 3,154.50 : x
  2. Step 2: Convert to fraction form
    6,443.20/9,667.90 = 3,154.50/x
  3. Step 3: Cross multiply
    6,443.20x = 9,667.90 × 3,154.50
  4. Step 4: Simplify right side
    6,443.20x = 30,497,390.55
  5. Step 5: Solve for x
    x = 30,497,390.55/6,443.20
  6. Step 6: Final answer
    x = 4,733.27

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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.