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Finding the Fourth Proportional to 6.54, 9.81 and 2.53

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Solution

The fourth proportional to 6.54, 9.81 and 2.53 is: 3.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.54 : 9.81 = 2.53 : x
  2. Step 2: Convert to fraction form
    6.54/9.81 = 2.53/x
  3. Step 3: Cross multiply
    6.54x = 9.81 × 2.53
  4. Step 4: Simplify right side
    6.54x = 24.84
  5. Step 5: Solve for x
    x = 24.84/6.54
  6. Step 6: Final answer
    x = 3.80

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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.