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Finding the Fourth Proportional to 8,167, 12,250.68 and 3,550

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Solution

The fourth proportional to 8,167, 12,250.68 and 3,550 is: 5,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167 : 12,250.68 = 3,550 : x
  2. Step 2: Convert to fraction form
    8,167/12,250.68 = 3,550/x
  3. Step 3: Cross multiply
    8,167x = 12,250.68 × 3,550
  4. Step 4: Simplify right side
    8,167x = 43,489,914
  5. Step 5: Solve for x
    x = 43,489,914/8,167
  6. Step 6: Final answer
    x = 5,325.08

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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.