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Finding the Fourth Proportional to 6.54, 9.86 and 6.54

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Solution

The fourth proportional to 6.54, 9.86 and 6.54 is: 9.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.54 : 9.86 = 6.54 : x
  2. Step 2: Convert to fraction form
    6.54/9.86 = 6.54/x
  3. Step 3: Cross multiply
    6.54x = 9.86 × 6.54
  4. Step 4: Simplify right side
    6.54x = 64.42
  5. Step 5: Solve for x
    x = 64.42/6.54
  6. Step 6: Final answer
    x = 9.86

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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.