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Finding the Fourth Proportional to 17,097.15, 23,591.98 and 9,543.90

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Solution

The fourth proportional to 17,097.15, 23,591.98 and 9,543.90 is: 13,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.15 : 23,591.98 = 9,543.90 : x
  2. Step 2: Convert to fraction form
    17,097.15/23,591.98 = 9,543.90/x
  3. Step 3: Cross multiply
    17,097.15x = 23,591.98 × 9,543.90
  4. Step 4: Simplify right side
    17,097.15x = 225,159,497.92
  5. Step 5: Solve for x
    x = 225,159,497.92/17,097.15
  6. Step 6: Final answer
    x = 13,169.42

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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.