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Finding the Fourth Proportional to 11,693.67, 17,540.52 and 3,902.49

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Solution

The fourth proportional to 11,693.67, 17,540.52 and 3,902.49 is: 5,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.67 : 17,540.52 = 3,902.49 : x
  2. Step 2: Convert to fraction form
    11,693.67/17,540.52 = 3,902.49/x
  3. Step 3: Cross multiply
    11,693.67x = 17,540.52 × 3,902.49
  4. Step 4: Simplify right side
    11,693.67x = 68,451,703.89
  5. Step 5: Solve for x
    x = 68,451,703.89/11,693.67
  6. Step 6: Final answer
    x = 5,853.74

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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.