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Finding the Fourth Proportional to 22,964.80, 34,439.10 and 8,174.20

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Solution

The fourth proportional to 22,964.80, 34,439.10 and 8,174.20 is: 12,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.80 : 34,439.10 = 8,174.20 : x
  2. Step 2: Convert to fraction form
    22,964.80/34,439.10 = 8,174.20/x
  3. Step 3: Cross multiply
    22,964.80x = 34,439.10 × 8,174.20
  4. Step 4: Simplify right side
    22,964.80x = 281,512,091.22
  5. Step 5: Solve for x
    x = 281,512,091.22/22,964.80
  6. Step 6: Final answer
    x = 12,258.42

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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.