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Finding the Fourth Proportional to 6,786.72, 10,180.09 and 1,856.00

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Solution

The fourth proportional to 6,786.72, 10,180.09 and 1,856.00 is: 2,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.72 : 10,180.09 = 1,856.00 : x
  2. Step 2: Convert to fraction form
    6,786.72/10,180.09 = 1,856.00/x
  3. Step 3: Cross multiply
    6,786.72x = 10,180.09 × 1,856.00
  4. Step 4: Simplify right side
    6,786.72x = 18,894,191.50
  5. Step 5: Solve for x
    x = 18,894,191.50/6,786.72
  6. Step 6: Final answer
    x = 2,783.99

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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.