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Finding the Fourth Proportional to 7.09, 9.78 and 6.82

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Solution

The fourth proportional to 7.09, 9.78 and 6.82 is: 9.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.09 : 9.78 = 6.82 : x
  2. Step 2: Convert to fraction form
    7.09/9.78 = 6.82/x
  3. Step 3: Cross multiply
    7.09x = 9.78 × 6.82
  4. Step 4: Simplify right side
    7.09x = 66.70
  5. Step 5: Solve for x
    x = 66.70/7.09
  6. Step 6: Final answer
    x = 9.41

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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.