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Finding the Fourth Proportional to 7.84, 11.72 and 6.64

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Solution

The fourth proportional to 7.84, 11.72 and 6.64 is: 9.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.84 : 11.72 = 6.64 : x
  2. Step 2: Convert to fraction form
    7.84/11.72 = 6.64/x
  3. Step 3: Cross multiply
    7.84x = 11.72 × 6.64
  4. Step 4: Simplify right side
    7.84x = 77.82
  5. Step 5: Solve for x
    x = 77.82/7.84
  6. Step 6: Final answer
    x = 9.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.