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Finding the Fourth Proportional to 17,202.20, 25,814.27 and 7,843.15

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Solution

The fourth proportional to 17,202.20, 25,814.27 and 7,843.15 is: 11,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.20 : 25,814.27 = 7,843.15 : x
  2. Step 2: Convert to fraction form
    17,202.20/25,814.27 = 7,843.15/x
  3. Step 3: Cross multiply
    17,202.20x = 25,814.27 × 7,843.15
  4. Step 4: Simplify right side
    17,202.20x = 202,465,152.18
  5. Step 5: Solve for x
    x = 202,465,152.18/17,202.20
  6. Step 6: Final answer
    x = 11,769.72

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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.