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Finding the Fourth Proportional to 22,797.70, 34,199.07 and 9,469.24

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Solution

The fourth proportional to 22,797.70, 34,199.07 and 9,469.24 is: 14,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.70 : 34,199.07 = 9,469.24 : x
  2. Step 2: Convert to fraction form
    22,797.70/34,199.07 = 9,469.24/x
  3. Step 3: Cross multiply
    22,797.70x = 34,199.07 × 9,469.24
  4. Step 4: Simplify right side
    22,797.70x = 323,839,201.61
  5. Step 5: Solve for x
    x = 323,839,201.61/22,797.70
  6. Step 6: Final answer
    x = 14,204.91

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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.