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Finding the Fourth Proportional to 17.50, 26.25 and 6.82

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Solution

The fourth proportional to 17.50, 26.25 and 6.82 is: 10.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.50 : 26.25 = 6.82 : x
  2. Step 2: Convert to fraction form
    17.50/26.25 = 6.82/x
  3. Step 3: Cross multiply
    17.50x = 26.25 × 6.82
  4. Step 4: Simplify right side
    17.50x = 179.03
  5. Step 5: Solve for x
    x = 179.03/17.50
  6. Step 6: Final answer
    x = 10.23

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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.