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Finding the Fourth Proportional to 6,815.73, 10,229.07 and 3,529.77

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Solution

The fourth proportional to 6,815.73, 10,229.07 and 3,529.77 is: 5,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.73 : 10,229.07 = 3,529.77 : x
  2. Step 2: Convert to fraction form
    6,815.73/10,229.07 = 3,529.77/x
  3. Step 3: Cross multiply
    6,815.73x = 10,229.07 × 3,529.77
  4. Step 4: Simplify right side
    6,815.73x = 36,106,264.41
  5. Step 5: Solve for x
    x = 36,106,264.41/6,815.73
  6. Step 6: Final answer
    x = 5,297.49

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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.