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Finding the Fourth Proportional to 13,524.88, 20,278.04 and 6,504.60

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Solution

The fourth proportional to 13,524.88, 20,278.04 and 6,504.60 is: 9,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.88 : 20,278.04 = 6,504.60 : x
  2. Step 2: Convert to fraction form
    13,524.88/20,278.04 = 6,504.60/x
  3. Step 3: Cross multiply
    13,524.88x = 20,278.04 × 6,504.60
  4. Step 4: Simplify right side
    13,524.88x = 131,900,538.98
  5. Step 5: Solve for x
    x = 131,900,538.98/13,524.88
  6. Step 6: Final answer
    x = 9,752.44

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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.