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Finding the Fourth Proportional to 12.65, 18.96 and 9.63

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Solution

The fourth proportional to 12.65, 18.96 and 9.63 is: 14.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.65 : 18.96 = 9.63 : x
  2. Step 2: Convert to fraction form
    12.65/18.96 = 9.63/x
  3. Step 3: Cross multiply
    12.65x = 18.96 × 9.63
  4. Step 4: Simplify right side
    12.65x = 182.58
  5. Step 5: Solve for x
    x = 182.58/12.65
  6. Step 6: Final answer
    x = 14.44

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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.