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Finding the Fourth Proportional to 11,829, 16,324.14 and 6,524

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Solution

The fourth proportional to 11,829, 16,324.14 and 6,524 is: 9,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 16,324.14 = 6,524 : x
  2. Step 2: Convert to fraction form
    11,829/16,324.14 = 6,524/x
  3. Step 3: Cross multiply
    11,829x = 16,324.14 × 6,524
  4. Step 4: Simplify right side
    11,829x = 106,498,689.36
  5. Step 5: Solve for x
    x = 106,498,689.36/11,829
  6. Step 6: Final answer
    x = 9,003.19

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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.