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Finding the Fourth Proportional to 6.39, 9.59 and 4.61

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Solution

The fourth proportional to 6.39, 9.59 and 4.61 is: 6.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.39 : 9.59 = 4.61 : x
  2. Step 2: Convert to fraction form
    6.39/9.59 = 4.61/x
  3. Step 3: Cross multiply
    6.39x = 9.59 × 4.61
  4. Step 4: Simplify right side
    6.39x = 44.21
  5. Step 5: Solve for x
    x = 44.21/6.39
  6. Step 6: Final answer
    x = 6.92

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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.