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Finding the Fourth Proportional to 6.84, 10.14 and 6.84

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Solution

The fourth proportional to 6.84, 10.14 and 6.84 is: 10.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.84 : 10.14 = 6.84 : x
  2. Step 2: Convert to fraction form
    6.84/10.14 = 6.84/x
  3. Step 3: Cross multiply
    6.84x = 10.14 × 6.84
  4. Step 4: Simplify right side
    6.84x = 69.36
  5. Step 5: Solve for x
    x = 69.36/6.84
  6. Step 6: Final answer
    x = 10.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.