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Finding the Fourth Proportional to 6.42, 9.63 and 3.21

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Solution

The fourth proportional to 6.42, 9.63 and 3.21 is: 4.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 9.63 = 3.21 : x
  2. Step 2: Convert to fraction form
    6.42/9.63 = 3.21/x
  3. Step 3: Cross multiply
    6.42x = 9.63 × 3.21
  4. Step 4: Simplify right side
    6.42x = 30.88
  5. Step 5: Solve for x
    x = 30.88/6.42
  6. Step 6: Final answer
    x = 4.81

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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.