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Finding the Fourth Proportional to 6.34, 9.48 and 4.92

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Solution

The fourth proportional to 6.34, 9.48 and 4.92 is: 7.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.34 : 9.48 = 4.92 : x
  2. Step 2: Convert to fraction form
    6.34/9.48 = 4.92/x
  3. Step 3: Cross multiply
    6.34x = 9.48 × 4.92
  4. Step 4: Simplify right side
    6.34x = 46.64
  5. Step 5: Solve for x
    x = 46.64/6.34
  6. Step 6: Final answer
    x = 7.36

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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.