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Finding the Fourth Proportional to 10,524.60, 15,759.92 and 10,213.16

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Solution

The fourth proportional to 10,524.60, 15,759.92 and 10,213.16 is: 15,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.60 : 15,759.92 = 10,213.16 : x
  2. Step 2: Convert to fraction form
    10,524.60/15,759.92 = 10,213.16/x
  3. Step 3: Cross multiply
    10,524.60x = 15,759.92 × 10,213.16
  4. Step 4: Simplify right side
    10,524.60x = 160,958,584.55
  5. Step 5: Solve for x
    x = 160,958,584.55/10,524.60
  6. Step 6: Final answer
    x = 15,293.56

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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.