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Finding the Fourth Proportional to 27,540.94, 41,311.31 and 7,819.50

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Solution

The fourth proportional to 27,540.94, 41,311.31 and 7,819.50 is: 11,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.94 : 41,311.31 = 7,819.50 : x
  2. Step 2: Convert to fraction form
    27,540.94/41,311.31 = 7,819.50/x
  3. Step 3: Cross multiply
    27,540.94x = 41,311.31 × 7,819.50
  4. Step 4: Simplify right side
    27,540.94x = 323,033,594.53
  5. Step 5: Solve for x
    x = 323,033,594.53/27,540.94
  6. Step 6: Final answer
    x = 11,729.22

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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.