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Finding the Fourth Proportional to 23,174.62, 34,752.94 and 7,974.30

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Solution

The fourth proportional to 23,174.62, 34,752.94 and 7,974.30 is: 11,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.62 : 34,752.94 = 7,974.30 : x
  2. Step 2: Convert to fraction form
    23,174.62/34,752.94 = 7,974.30/x
  3. Step 3: Cross multiply
    23,174.62x = 34,752.94 × 7,974.30
  4. Step 4: Simplify right side
    23,174.62x = 277,130,369.44
  5. Step 5: Solve for x
    x = 277,130,369.44/23,174.62
  6. Step 6: Final answer
    x = 11,958.36

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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.