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Finding the Fourth Proportional to 17,591.88, 24,277 and 9,634.44

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Solution

The fourth proportional to 17,591.88, 24,277 and 9,634.44 is: 13,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,591.88 : 24,277 = 9,634.44 : x
  2. Step 2: Convert to fraction form
    17,591.88/24,277 = 9,634.44/x
  3. Step 3: Cross multiply
    17,591.88x = 24,277 × 9,634.44
  4. Step 4: Simplify right side
    17,591.88x = 233,895,299.88
  5. Step 5: Solve for x
    x = 233,895,299.88/17,591.88
  6. Step 6: Final answer
    x = 13,295.64

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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.