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Finding the Fourth Proportional to 27,692.76, 41,540.04 and 7,972.32

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Solution

The fourth proportional to 27,692.76, 41,540.04 and 7,972.32 is: 11,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.76 : 41,540.04 = 7,972.32 : x
  2. Step 2: Convert to fraction form
    27,692.76/41,540.04 = 7,972.32/x
  3. Step 3: Cross multiply
    27,692.76x = 41,540.04 × 7,972.32
  4. Step 4: Simplify right side
    27,692.76x = 331,170,491.69
  5. Step 5: Solve for x
    x = 331,170,491.69/27,692.76
  6. Step 6: Final answer
    x = 11,958.74

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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.