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Finding the Fourth Proportional to 22,318.28, 33,467 and 8,277.74

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Solution

The fourth proportional to 22,318.28, 33,467 and 8,277.74 is: 12,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.28 : 33,467 = 8,277.74 : x
  2. Step 2: Convert to fraction form
    22,318.28/33,467 = 8,277.74/x
  3. Step 3: Cross multiply
    22,318.28x = 33,467 × 8,277.74
  4. Step 4: Simplify right side
    22,318.28x = 277,031,124.58
  5. Step 5: Solve for x
    x = 277,031,124.58/22,318.28
  6. Step 6: Final answer
    x = 12,412.75

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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.