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Finding the Fourth Proportional to 8,267.64, 12,401.28 and 3,881.97

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Solution

The fourth proportional to 8,267.64, 12,401.28 and 3,881.97 is: 5,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.64 : 12,401.28 = 3,881.97 : x
  2. Step 2: Convert to fraction form
    8,267.64/12,401.28 = 3,881.97/x
  3. Step 3: Cross multiply
    8,267.64x = 12,401.28 × 3,881.97
  4. Step 4: Simplify right side
    8,267.64x = 48,141,396.92
  5. Step 5: Solve for x
    x = 48,141,396.92/8,267.64
  6. Step 6: Final answer
    x = 5,822.87

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1.5x scale

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.