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Finding the Fourth Proportional to 6,789.98, 10,184.98 and 1,859.66

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Solution

The fourth proportional to 6,789.98, 10,184.98 and 1,859.66 is: 2,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.98 : 10,184.98 = 1,859.66 : x
  2. Step 2: Convert to fraction form
    6,789.98/10,184.98 = 1,859.66/x
  3. Step 3: Cross multiply
    6,789.98x = 10,184.98 × 1,859.66
  4. Step 4: Simplify right side
    6,789.98x = 18,940,599.91
  5. Step 5: Solve for x
    x = 18,940,599.91/6,789.98
  6. Step 6: Final answer
    x = 2,789.49

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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.