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Finding the Fourth Proportional to 9.50, 14.31 and 6.52

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Solution

The fourth proportional to 9.50, 14.31 and 6.52 is: 9.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 14.31 = 6.52 : x
  2. Step 2: Convert to fraction form
    9.50/14.31 = 6.52/x
  3. Step 3: Cross multiply
    9.50x = 14.31 × 6.52
  4. Step 4: Simplify right side
    9.50x = 93.22
  5. Step 5: Solve for x
    x = 93.22/9.50
  6. Step 6: Final answer
    x = 9.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.