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Finding the Fourth Proportional to 17,198.52, 23,736.30 and 9,747

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Solution

The fourth proportional to 17,198.52, 23,736.30 and 9,747 is: 13,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.52 : 23,736.30 = 9,747 : x
  2. Step 2: Convert to fraction form
    17,198.52/23,736.30 = 9,747/x
  3. Step 3: Cross multiply
    17,198.52x = 23,736.30 × 9,747
  4. Step 4: Simplify right side
    17,198.52x = 231,357,716.10
  5. Step 5: Solve for x
    x = 231,357,716.10/17,198.52
  6. Step 6: Final answer
    x = 13,452.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.