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Finding the Fourth Proportional to 7.84, 11.78 and 6.16

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Solution

The fourth proportional to 7.84, 11.78 and 6.16 is: 9.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.84 : 11.78 = 6.16 : x
  2. Step 2: Convert to fraction form
    7.84/11.78 = 6.16/x
  3. Step 3: Cross multiply
    7.84x = 11.78 × 6.16
  4. Step 4: Simplify right side
    7.84x = 72.56
  5. Step 5: Solve for x
    x = 72.56/7.84
  6. Step 6: Final answer
    x = 9.26

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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.