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Finding the Fourth Proportional to 6.54, 9.78 and 6.22

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Solution

The fourth proportional to 6.54, 9.78 and 6.22 is: 9.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.54 : 9.78 = 6.22 : x
  2. Step 2: Convert to fraction form
    6.54/9.78 = 6.22/x
  3. Step 3: Cross multiply
    6.54x = 9.78 × 6.22
  4. Step 4: Simplify right side
    6.54x = 60.83
  5. Step 5: Solve for x
    x = 60.83/6.54
  6. Step 6: Final answer
    x = 9.30

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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.