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Finding the Fourth Proportional to 12,167, 16,800.68 and 8,201.24

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Solution

The fourth proportional to 12,167, 16,800.68 and 8,201.24 is: 11,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167 : 16,800.68 = 8,201.24 : x
  2. Step 2: Convert to fraction form
    12,167/16,800.68 = 8,201.24/x
  3. Step 3: Cross multiply
    12,167x = 16,800.68 × 8,201.24
  4. Step 4: Simplify right side
    12,167x = 137,786,408.84
  5. Step 5: Solve for x
    x = 137,786,408.84/12,167
  6. Step 6: Final answer
    x = 11,324.60

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1.5x scale

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.