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Finding the Fourth Proportional to 6,789.49, 10,184.94 and 1,859.13

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Solution

The fourth proportional to 6,789.49, 10,184.94 and 1,859.13 is: 2,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.49 : 10,184.94 = 1,859.13 : x
  2. Step 2: Convert to fraction form
    6,789.49/10,184.94 = 1,859.13/x
  3. Step 3: Cross multiply
    6,789.49x = 10,184.94 × 1,859.13
  4. Step 4: Simplify right side
    6,789.49x = 18,935,127.50
  5. Step 5: Solve for x
    x = 18,935,127.50/6,789.49
  6. Step 6: Final answer
    x = 2,788.89

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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.