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Finding the Fourth Proportional to 6.50, 9.77 and 6.41

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Solution

The fourth proportional to 6.50, 9.77 and 6.41 is: 9.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.50 : 9.77 = 6.41 : x
  2. Step 2: Convert to fraction form
    6.50/9.77 = 6.41/x
  3. Step 3: Cross multiply
    6.50x = 9.77 × 6.41
  4. Step 4: Simplify right side
    6.50x = 62.54
  5. Step 5: Solve for x
    x = 62.54/6.50
  6. Step 6: Final answer
    x = 9.63

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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.