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Finding the Fourth Proportional to 11,693.97, 17,540.39 and 4,297.86

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Solution

The fourth proportional to 11,693.97, 17,540.39 and 4,297.86 is: 6,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.97 : 17,540.39 = 4,297.86 : x
  2. Step 2: Convert to fraction form
    11,693.97/17,540.39 = 4,297.86/x
  3. Step 3: Cross multiply
    11,693.97x = 17,540.39 × 4,297.86
  4. Step 4: Simplify right side
    11,693.97x = 75,386,119.08
  5. Step 5: Solve for x
    x = 75,386,119.08/11,693.97
  6. Step 6: Final answer
    x = 6,446.58

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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.