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Finding the Fourth Proportional to 11,731, 17,600.82 and 6,184.12

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Solution

The fourth proportional to 11,731, 17,600.82 and 6,184.12 is: 9,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731 : 17,600.82 = 6,184.12 : x
  2. Step 2: Convert to fraction form
    11,731/17,600.82 = 6,184.12/x
  3. Step 3: Cross multiply
    11,731x = 17,600.82 × 6,184.12
  4. Step 4: Simplify right side
    11,731x = 108,845,582.98
  5. Step 5: Solve for x
    x = 108,845,582.98/11,731
  6. Step 6: Final answer
    x = 9,278.46

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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.