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Finding the Fourth Proportional to 9.69, 13.38 and 6.46

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Solution

The fourth proportional to 9.69, 13.38 and 6.46 is: 8.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.69 : 13.38 = 6.46 : x
  2. Step 2: Convert to fraction form
    9.69/13.38 = 6.46/x
  3. Step 3: Cross multiply
    9.69x = 13.38 × 6.46
  4. Step 4: Simplify right side
    9.69x = 86.34
  5. Step 5: Solve for x
    x = 86.34/9.69
  6. Step 6: Final answer
    x = 8.91

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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.