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Finding the Fourth Proportional to 6,786.86, 10,180.20 and 1,856.49

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Solution

The fourth proportional to 6,786.86, 10,180.20 and 1,856.49 is: 2,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.86 : 10,180.20 = 1,856.49 : x
  2. Step 2: Convert to fraction form
    6,786.86/10,180.20 = 1,856.49/x
  3. Step 3: Cross multiply
    6,786.86x = 10,180.20 × 1,856.49
  4. Step 4: Simplify right side
    6,786.86x = 18,899,439.50
  5. Step 5: Solve for x
    x = 18,899,439.50/6,786.86
  6. Step 6: Final answer
    x = 2,784.71

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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.