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Finding the Fourth Proportional to 7, 9.71 and 6.84

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Solution

The fourth proportional to 7, 9.71 and 6.84 is: 9.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7 : 9.71 = 6.84 : x
  2. Step 2: Convert to fraction form
    7/9.71 = 6.84/x
  3. Step 3: Cross multiply
    7x = 9.71 × 6.84
  4. Step 4: Simplify right side
    7x = 66.42
  5. Step 5: Solve for x
    x = 66.42/7
  6. Step 6: Final answer
    x = 9.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.