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Finding the Fourth Proportional to 10,493.62, 14,481.23 and 5,713.62

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Solution

The fourth proportional to 10,493.62, 14,481.23 and 5,713.62 is: 7,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.62 : 14,481.23 = 5,713.62 : x
  2. Step 2: Convert to fraction form
    10,493.62/14,481.23 = 5,713.62/x
  3. Step 3: Cross multiply
    10,493.62x = 14,481.23 × 5,713.62
  4. Step 4: Simplify right side
    10,493.62x = 82,740,245.35
  5. Step 5: Solve for x
    x = 82,740,245.35/10,493.62
  6. Step 6: Final answer
    x = 7,884.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.