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Finding the Fourth Proportional to 6.84, 9.40 and 6.64

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Solution

The fourth proportional to 6.84, 9.40 and 6.64 is: 9.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.84 : 9.40 = 6.64 : x
  2. Step 2: Convert to fraction form
    6.84/9.40 = 6.64/x
  3. Step 3: Cross multiply
    6.84x = 9.40 × 6.64
  4. Step 4: Simplify right side
    6.84x = 62.42
  5. Step 5: Solve for x
    x = 62.42/6.84
  6. Step 6: Final answer
    x = 9.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.