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Finding the Fourth Proportional to 12.60, 18.81 and 9.74

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Solution

The fourth proportional to 12.60, 18.81 and 9.74 is: 14.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.60 : 18.81 = 9.74 : x
  2. Step 2: Convert to fraction form
    12.60/18.81 = 9.74/x
  3. Step 3: Cross multiply
    12.60x = 18.81 × 9.74
  4. Step 4: Simplify right side
    12.60x = 183.26
  5. Step 5: Solve for x
    x = 183.26/12.60
  6. Step 6: Final answer
    x = 14.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.