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Finding the Fourth Proportional to 6.95, 9.59 and 5.14

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Solution

The fourth proportional to 6.95, 9.59 and 5.14 is: 7.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.95 : 9.59 = 5.14 : x
  2. Step 2: Convert to fraction form
    6.95/9.59 = 5.14/x
  3. Step 3: Cross multiply
    6.95x = 9.59 × 5.14
  4. Step 4: Simplify right side
    6.95x = 49.24
  5. Step 5: Solve for x
    x = 49.24/6.95
  6. Step 6: Final answer
    x = 7.09

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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.