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Finding the Fourth Proportional to 13.09, 19.62 and 9.49

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Solution

The fourth proportional to 13.09, 19.62 and 9.49 is: 14.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.09 : 19.62 = 9.49 : x
  2. Step 2: Convert to fraction form
    13.09/19.62 = 9.49/x
  3. Step 3: Cross multiply
    13.09x = 19.62 × 9.49
  4. Step 4: Simplify right side
    13.09x = 186.05
  5. Step 5: Solve for x
    x = 186.05/13.09
  6. Step 6: Final answer
    x = 14.21

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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.