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Finding the Fourth Proportional to 9.80, 13.49 and 6.56

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Solution

The fourth proportional to 9.80, 13.49 and 6.56 is: 9.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.80 : 13.49 = 6.56 : x
  2. Step 2: Convert to fraction form
    9.80/13.49 = 6.56/x
  3. Step 3: Cross multiply
    9.80x = 13.49 × 6.56
  4. Step 4: Simplify right side
    9.80x = 88.43
  5. Step 5: Solve for x
    x = 88.43/9.80
  6. Step 6: Final answer
    x = 9.03

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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.