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Finding the Fourth Proportional to 9.98, 14.96 and 7.74

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Solution

The fourth proportional to 9.98, 14.96 and 7.74 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.98 : 14.96 = 7.74 : x
  2. Step 2: Convert to fraction form
    9.98/14.96 = 7.74/x
  3. Step 3: Cross multiply
    9.98x = 14.96 × 7.74
  4. Step 4: Simplify right side
    9.98x = 115.75
  5. Step 5: Solve for x
    x = 115.75/9.98
  6. Step 6: Final answer
    x = 11.60

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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.