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Finding the Fourth Proportional to 13.23, 19.84 and 6.46

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Solution

The fourth proportional to 13.23, 19.84 and 6.46 is: 9.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.23 : 19.84 = 6.46 : x
  2. Step 2: Convert to fraction form
    13.23/19.84 = 6.46/x
  3. Step 3: Cross multiply
    13.23x = 19.84 × 6.46
  4. Step 4: Simplify right side
    13.23x = 128.17
  5. Step 5: Solve for x
    x = 128.17/13.23
  6. Step 6: Final answer
    x = 9.69

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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.