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Finding the Fourth Proportional to 9,805.14, 14,704.56 and 3,229.56

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Solution

The fourth proportional to 9,805.14, 14,704.56 and 3,229.56 is: 4,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.14 : 14,704.56 = 3,229.56 : x
  2. Step 2: Convert to fraction form
    9,805.14/14,704.56 = 3,229.56/x
  3. Step 3: Cross multiply
    9,805.14x = 14,704.56 × 3,229.56
  4. Step 4: Simplify right side
    9,805.14x = 47,489,258.79
  5. Step 5: Solve for x
    x = 47,489,258.79/9,805.14
  6. Step 6: Final answer
    x = 4,843.30

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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.