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Finding the Fourth Proportional to 9.83, 14.73 and 4.49

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Solution

The fourth proportional to 9.83, 14.73 and 4.49 is: 6.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.83 : 14.73 = 4.49 : x
  2. Step 2: Convert to fraction form
    9.83/14.73 = 4.49/x
  3. Step 3: Cross multiply
    9.83x = 14.73 × 4.49
  4. Step 4: Simplify right side
    9.83x = 66.06
  5. Step 5: Solve for x
    x = 66.06/9.83
  6. Step 6: Final answer
    x = 6.72

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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.