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Finding the Fourth Proportional to 7.26, 10.82 and 6.89

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Solution

The fourth proportional to 7.26, 10.82 and 6.89 is: 10.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.26 : 10.82 = 6.89 : x
  2. Step 2: Convert to fraction form
    7.26/10.82 = 6.89/x
  3. Step 3: Cross multiply
    7.26x = 10.82 × 6.89
  4. Step 4: Simplify right side
    7.26x = 74.51
  5. Step 5: Solve for x
    x = 74.51/7.26
  6. Step 6: Final answer
    x = 10.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.