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Finding the Fourth Proportional to 12,200, 18,300 and 2,966

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Solution

The fourth proportional to 12,200, 18,300 and 2,966 is: 4,449

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200 : 18,300 = 2,966 : x
  2. Step 2: Convert to fraction form
    12,200/18,300 = 2,966/x
  3. Step 3: Cross multiply
    12,200x = 18,300 × 2,966
  4. Step 4: Simplify right side
    12,200x = 54,277,800
  5. Step 5: Solve for x
    x = 54,277,800/12,200
  6. Step 6: Final answer
    x = 4,449

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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.