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Finding the Fourth Proportional to 6.48, 9.74 and 3.82

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Solution

The fourth proportional to 6.48, 9.74 and 3.82 is: 5.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.48 : 9.74 = 3.82 : x
  2. Step 2: Convert to fraction form
    6.48/9.74 = 3.82/x
  3. Step 3: Cross multiply
    6.48x = 9.74 × 3.82
  4. Step 4: Simplify right side
    6.48x = 37.21
  5. Step 5: Solve for x
    x = 37.21/6.48
  6. Step 6: Final answer
    x = 5.74

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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.