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Finding the Fourth Proportional to 12,694.50, 17,524.44 and 8,452.62

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Solution

The fourth proportional to 12,694.50, 17,524.44 and 8,452.62 is: 11,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.50 : 17,524.44 = 8,452.62 : x
  2. Step 2: Convert to fraction form
    12,694.50/17,524.44 = 8,452.62/x
  3. Step 3: Cross multiply
    12,694.50x = 17,524.44 × 8,452.62
  4. Step 4: Simplify right side
    12,694.50x = 148,127,432.03
  5. Step 5: Solve for x
    x = 148,127,432.03/12,694.50
  6. Step 6: Final answer
    x = 11,668.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.