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Finding the Fourth Proportional to 14.75, 22.09 and 9.67

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Solution

The fourth proportional to 14.75, 22.09 and 9.67 is: 14.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.75 : 22.09 = 9.67 : x
  2. Step 2: Convert to fraction form
    14.75/22.09 = 9.67/x
  3. Step 3: Cross multiply
    14.75x = 22.09 × 9.67
  4. Step 4: Simplify right side
    14.75x = 213.45
  5. Step 5: Solve for x
    x = 213.45/14.75
  6. Step 6: Final answer
    x = 14.47

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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.