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Finding the Fourth Proportional to 13.28, 19.91 and 6.50

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Solution

The fourth proportional to 13.28, 19.91 and 6.50 is: 9.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.28 : 19.91 = 6.50 : x
  2. Step 2: Convert to fraction form
    13.28/19.91 = 6.50/x
  3. Step 3: Cross multiply
    13.28x = 19.91 × 6.50
  4. Step 4: Simplify right side
    13.28x = 129.28
  5. Step 5: Solve for x
    x = 129.28/13.28
  6. Step 6: Final answer
    x = 9.74

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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.