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Finding the Fourth Proportional to 9.66, 14.46 and 6.80

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Solution

The fourth proportional to 9.66, 14.46 and 6.80 is: 10.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.66 : 14.46 = 6.80 : x
  2. Step 2: Convert to fraction form
    9.66/14.46 = 6.80/x
  3. Step 3: Cross multiply
    9.66x = 14.46 × 6.80
  4. Step 4: Simplify right side
    9.66x = 98.23
  5. Step 5: Solve for x
    x = 98.23/9.66
  6. Step 6: Final answer
    x = 10.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.