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Finding the Fourth Proportional to 9.94, 14.84 and 8.25

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Solution

The fourth proportional to 9.94, 14.84 and 8.25 is: 12.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.94 : 14.84 = 8.25 : x
  2. Step 2: Convert to fraction form
    9.94/14.84 = 8.25/x
  3. Step 3: Cross multiply
    9.94x = 14.84 × 8.25
  4. Step 4: Simplify right side
    9.94x = 122.51
  5. Step 5: Solve for x
    x = 122.51/9.94
  6. Step 6: Final answer
    x = 12.32

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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.