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Finding the Fourth Proportional to 6.35, 9.51 and 3.49

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Solution

The fourth proportional to 6.35, 9.51 and 3.49 is: 5.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.35 : 9.51 = 3.49 : x
  2. Step 2: Convert to fraction form
    6.35/9.51 = 3.49/x
  3. Step 3: Cross multiply
    6.35x = 9.51 × 3.49
  4. Step 4: Simplify right side
    6.35x = 33.17
  5. Step 5: Solve for x
    x = 33.17/6.35
  6. Step 6: Final answer
    x = 5.22

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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.