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Finding the Fourth Proportional to 6.98, 9.64 and 4.25

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Solution

The fourth proportional to 6.98, 9.64 and 4.25 is: 5.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.98 : 9.64 = 4.25 : x
  2. Step 2: Convert to fraction form
    6.98/9.64 = 4.25/x
  3. Step 3: Cross multiply
    6.98x = 9.64 × 4.25
  4. Step 4: Simplify right side
    6.98x = 40.97
  5. Step 5: Solve for x
    x = 40.97/6.98
  6. Step 6: Final answer
    x = 5.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.