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Finding the Fourth Proportional to 6,686.69, 10,029.77 and 1,689

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Solution

The fourth proportional to 6,686.69, 10,029.77 and 1,689 is: 2,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.69 : 10,029.77 = 1,689 : x
  2. Step 2: Convert to fraction form
    6,686.69/10,029.77 = 1,689/x
  3. Step 3: Cross multiply
    6,686.69x = 10,029.77 × 1,689
  4. Step 4: Simplify right side
    6,686.69x = 16,940,273.09
  5. Step 5: Solve for x
    x = 16,940,273.09/6,686.69
  6. Step 6: Final answer
    x = 2,533.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.