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Finding the Fourth Proportional to 4.75, 7.09 and 4.25

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Solution

The fourth proportional to 4.75, 7.09 and 4.25 is: 6.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.75 : 7.09 = 4.25 : x
  2. Step 2: Convert to fraction form
    4.75/7.09 = 4.25/x
  3. Step 3: Cross multiply
    4.75x = 7.09 × 4.25
  4. Step 4: Simplify right side
    4.75x = 30.14
  5. Step 5: Solve for x
    x = 30.14/4.75
  6. Step 6: Final answer
    x = 6.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.