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Finding the Fourth Proportional to 6,786.74, 10,179.14 and 1,856.67

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Solution

The fourth proportional to 6,786.74, 10,179.14 and 1,856.67 is: 2,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.74 : 10,179.14 = 1,856.67 : x
  2. Step 2: Convert to fraction form
    6,786.74/10,179.14 = 1,856.67/x
  3. Step 3: Cross multiply
    6,786.74x = 10,179.14 × 1,856.67
  4. Step 4: Simplify right side
    6,786.74x = 18,899,294.58
  5. Step 5: Solve for x
    x = 18,899,294.58/6,786.74
  6. Step 6: Final answer
    x = 2,784.74

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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.