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Finding the Fourth Proportional to 11,805.22, 17,707.86 and 5,229.64

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Solution

The fourth proportional to 11,805.22, 17,707.86 and 5,229.64 is: 7,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.22 : 17,707.86 = 5,229.64 : x
  2. Step 2: Convert to fraction form
    11,805.22/17,707.86 = 5,229.64/x
  3. Step 3: Cross multiply
    11,805.22x = 17,707.86 × 5,229.64
  4. Step 4: Simplify right side
    11,805.22x = 92,605,732.97
  5. Step 5: Solve for x
    x = 92,605,732.97/11,805.22
  6. Step 6: Final answer
    x = 7,844.47

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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.