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Finding the Fourth Proportional to 6,833.81, 10,252.15 and 3,873.67

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Solution

The fourth proportional to 6,833.81, 10,252.15 and 3,873.67 is: 5,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.81 : 10,252.15 = 3,873.67 : x
  2. Step 2: Convert to fraction form
    6,833.81/10,252.15 = 3,873.67/x
  3. Step 3: Cross multiply
    6,833.81x = 10,252.15 × 3,873.67
  4. Step 4: Simplify right side
    6,833.81x = 39,713,375.26
  5. Step 5: Solve for x
    x = 39,713,375.26/6,833.81
  6. Step 6: Final answer
    x = 5,811.31

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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.