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Finding the Fourth Proportional to 6,993.75, 10,490.66 and 2,833.84

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Solution

The fourth proportional to 6,993.75, 10,490.66 and 2,833.84 is: 4,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.75 : 10,490.66 = 2,833.84 : x
  2. Step 2: Convert to fraction form
    6,993.75/10,490.66 = 2,833.84/x
  3. Step 3: Cross multiply
    6,993.75x = 10,490.66 × 2,833.84
  4. Step 4: Simplify right side
    6,993.75x = 29,728,816.65
  5. Step 5: Solve for x
    x = 29,728,816.65/6,993.75
  6. Step 6: Final answer
    x = 4,250.77

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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.