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Finding the Fourth Proportional to 6, 8.25 and 5.19

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Solution

The fourth proportional to 6, 8.25 and 5.19 is: 7.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 8.25 = 5.19 : x
  2. Step 2: Convert to fraction form
    6/8.25 = 5.19/x
  3. Step 3: Cross multiply
    6x = 8.25 × 5.19
  4. Step 4: Simplify right side
    6x = 42.82
  5. Step 5: Solve for x
    x = 42.82/6
  6. Step 6: Final answer
    x = 7.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.