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Finding the Fourth Proportional to 6,789.50, 10,184.18 and 1,859.14

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Solution

The fourth proportional to 6,789.50, 10,184.18 and 1,859.14 is: 2,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.50 : 10,184.18 = 1,859.14 : x
  2. Step 2: Convert to fraction form
    6,789.50/10,184.18 = 1,859.14/x
  3. Step 3: Cross multiply
    6,789.50x = 10,184.18 × 1,859.14
  4. Step 4: Simplify right side
    6,789.50x = 18,933,795.59
  5. Step 5: Solve for x
    x = 18,933,795.59/6,789.50
  6. Step 6: Final answer
    x = 2,788.69

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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.