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Finding the Fourth Proportional to 13.39, 18.50 and 9.74

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Solution

The fourth proportional to 13.39, 18.50 and 9.74 is: 13.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.39 : 18.50 = 9.74 : x
  2. Step 2: Convert to fraction form
    13.39/18.50 = 9.74/x
  3. Step 3: Cross multiply
    13.39x = 18.50 × 9.74
  4. Step 4: Simplify right side
    13.39x = 180.22
  5. Step 5: Solve for x
    x = 180.22/13.39
  6. Step 6: Final answer
    x = 13.46

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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.