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Finding the Fourth Proportional to 11.50, 15.82 and 9.78

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Solution

The fourth proportional to 11.50, 15.82 and 9.78 is: 13.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 15.82 = 9.78 : x
  2. Step 2: Convert to fraction form
    11.50/15.82 = 9.78/x
  3. Step 3: Cross multiply
    11.50x = 15.82 × 9.78
  4. Step 4: Simplify right side
    11.50x = 154.72
  5. Step 5: Solve for x
    x = 154.72/11.50
  6. Step 6: Final answer
    x = 13.45

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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.