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Finding the Fourth Proportional to 11,906.12, 17,853.86 and 6,358.44

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Solution

The fourth proportional to 11,906.12, 17,853.86 and 6,358.44 is: 9,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.12 : 17,853.86 = 6,358.44 : x
  2. Step 2: Convert to fraction form
    11,906.12/17,853.86 = 6,358.44/x
  3. Step 3: Cross multiply
    11,906.12x = 17,853.86 × 6,358.44
  4. Step 4: Simplify right side
    11,906.12x = 113,522,697.58
  5. Step 5: Solve for x
    x = 113,522,697.58/11,906.12
  6. Step 6: Final answer
    x = 9,534.82

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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.