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Finding the Fourth Proportional to 22,198.25, 33,302.24 and 8,347.25

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Solution

The fourth proportional to 22,198.25, 33,302.24 and 8,347.25 is: 12,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.25 : 33,302.24 = 8,347.25 : x
  2. Step 2: Convert to fraction form
    22,198.25/33,302.24 = 8,347.25/x
  3. Step 3: Cross multiply
    22,198.25x = 33,302.24 × 8,347.25
  4. Step 4: Simplify right side
    22,198.25x = 277,982,122.84
  5. Step 5: Solve for x
    x = 277,982,122.84/22,198.25
  6. Step 6: Final answer
    x = 12,522.70

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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.