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Finding the Fourth Proportional to 9.46, 14.12 and 7.84

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Solution

The fourth proportional to 9.46, 14.12 and 7.84 is: 11.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.46 : 14.12 = 7.84 : x
  2. Step 2: Convert to fraction form
    9.46/14.12 = 7.84/x
  3. Step 3: Cross multiply
    9.46x = 14.12 × 7.84
  4. Step 4: Simplify right side
    9.46x = 110.70
  5. Step 5: Solve for x
    x = 110.70/9.46
  6. Step 6: Final answer
    x = 11.70

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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.