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Finding the Fourth Proportional to 17,198.52, 25,797.78 and 9,806.46

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Solution

The fourth proportional to 17,198.52, 25,797.78 and 9,806.46 is: 14,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.52 : 25,797.78 = 9,806.46 : x
  2. Step 2: Convert to fraction form
    17,198.52/25,797.78 = 9,806.46/x
  3. Step 3: Cross multiply
    17,198.52x = 25,797.78 × 9,806.46
  4. Step 4: Simplify right side
    17,198.52x = 252,984,897.66
  5. Step 5: Solve for x
    x = 252,984,897.66/17,198.52
  6. Step 6: Final answer
    x = 14,709.69

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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.