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Finding the Fourth Proportional to 6.44, 9.66 and 2.83

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Solution

The fourth proportional to 6.44, 9.66 and 2.83 is: 4.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.44 : 9.66 = 2.83 : x
  2. Step 2: Convert to fraction form
    6.44/9.66 = 2.83/x
  3. Step 3: Cross multiply
    6.44x = 9.66 × 2.83
  4. Step 4: Simplify right side
    6.44x = 27.34
  5. Step 5: Solve for x
    x = 27.34/6.44
  6. Step 6: Final answer
    x = 4.25

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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.