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Finding the Fourth Proportional to 11,939.14, 16,476.51 and 6,634

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Solution

The fourth proportional to 11,939.14, 16,476.51 and 6,634 is: 9,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,939.14 : 16,476.51 = 6,634 : x
  2. Step 2: Convert to fraction form
    11,939.14/16,476.51 = 6,634/x
  3. Step 3: Cross multiply
    11,939.14x = 16,476.51 × 6,634
  4. Step 4: Simplify right side
    11,939.14x = 109,305,167.34
  5. Step 5: Solve for x
    x = 109,305,167.34/11,939.14
  6. Step 6: Final answer
    x = 9,155.20

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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.