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Finding the Fourth Proportional to 11,493.80, 17,242.05 and 4,099.31

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Solution

The fourth proportional to 11,493.80, 17,242.05 and 4,099.31 is: 6,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.80 : 17,242.05 = 4,099.31 : x
  2. Step 2: Convert to fraction form
    11,493.80/17,242.05 = 4,099.31/x
  3. Step 3: Cross multiply
    11,493.80x = 17,242.05 × 4,099.31
  4. Step 4: Simplify right side
    11,493.80x = 70,680,421.78
  5. Step 5: Solve for x
    x = 70,680,421.78/11,493.80
  6. Step 6: Final answer
    x = 6,149.44

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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.