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Finding the Fourth Proportional to 6,798.86, 10,199.24 and 2,119.22

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Solution

The fourth proportional to 6,798.86, 10,199.24 and 2,119.22 is: 3,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.86 : 10,199.24 = 2,119.22 : x
  2. Step 2: Convert to fraction form
    6,798.86/10,199.24 = 2,119.22/x
  3. Step 3: Cross multiply
    6,798.86x = 10,199.24 × 2,119.22
  4. Step 4: Simplify right side
    6,798.86x = 21,614,371.80
  5. Step 5: Solve for x
    x = 21,614,371.80/6,798.86
  6. Step 6: Final answer
    x = 3,179.12

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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.