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Finding the Fourth Proportional to 6,726.34, 10,089.30 and 1,796.37

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Solution

The fourth proportional to 6,726.34, 10,089.30 and 1,796.37 is: 2,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.34 : 10,089.30 = 1,796.37 : x
  2. Step 2: Convert to fraction form
    6,726.34/10,089.30 = 1,796.37/x
  3. Step 3: Cross multiply
    6,726.34x = 10,089.30 × 1,796.37
  4. Step 4: Simplify right side
    6,726.34x = 18,124,115.84
  5. Step 5: Solve for x
    x = 18,124,115.84/6,726.34
  6. Step 6: Final answer
    x = 2,694.50

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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.