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Finding the Fourth Proportional to 6,694.50, 10,041.36 and 3,181.92

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Solution

The fourth proportional to 6,694.50, 10,041.36 and 3,181.92 is: 4,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.50 : 10,041.36 = 3,181.92 : x
  2. Step 2: Convert to fraction form
    6,694.50/10,041.36 = 3,181.92/x
  3. Step 3: Cross multiply
    6,694.50x = 10,041.36 × 3,181.92
  4. Step 4: Simplify right side
    6,694.50x = 31,950,804.21
  5. Step 5: Solve for x
    x = 31,950,804.21/6,694.50
  6. Step 6: Final answer
    x = 4,772.69

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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.