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Finding the Fourth Proportional to 13,524.80, 20,287.20 and 7,692.80

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Solution

The fourth proportional to 13,524.80, 20,287.20 and 7,692.80 is: 11,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.80 : 20,287.20 = 7,692.80 : x
  2. Step 2: Convert to fraction form
    13,524.80/20,287.20 = 7,692.80/x
  3. Step 3: Cross multiply
    13,524.80x = 20,287.20 × 7,692.80
  4. Step 4: Simplify right side
    13,524.80x = 156,065,372.16
  5. Step 5: Solve for x
    x = 156,065,372.16/13,524.80
  6. Step 6: Final answer
    x = 11,539.20

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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.