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Finding the Fourth Proportional to 14.37, 19.82 and 9.46

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Solution

The fourth proportional to 14.37, 19.82 and 9.46 is: 13.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.37 : 19.82 = 9.46 : x
  2. Step 2: Convert to fraction form
    14.37/19.82 = 9.46/x
  3. Step 3: Cross multiply
    14.37x = 19.82 × 9.46
  4. Step 4: Simplify right side
    14.37x = 187.40
  5. Step 5: Solve for x
    x = 187.40/14.37
  6. Step 6: Final answer
    x = 13.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.