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Finding the Fourth Proportional to 7.12, 9.82 and 6.54

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Solution

The fourth proportional to 7.12, 9.82 and 6.54 is: 9.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.12 : 9.82 = 6.54 : x
  2. Step 2: Convert to fraction form
    7.12/9.82 = 6.54/x
  3. Step 3: Cross multiply
    7.12x = 9.82 × 6.54
  4. Step 4: Simplify right side
    7.12x = 64.22
  5. Step 5: Solve for x
    x = 64.22/7.12
  6. Step 6: Final answer
    x = 9.02

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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.