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Finding the Fourth Proportional to 6,709.50, 10,064.39 and 2,092.50

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Solution

The fourth proportional to 6,709.50, 10,064.39 and 2,092.50 is: 3,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.50 : 10,064.39 = 2,092.50 : x
  2. Step 2: Convert to fraction form
    6,709.50/10,064.39 = 2,092.50/x
  3. Step 3: Cross multiply
    6,709.50x = 10,064.39 × 2,092.50
  4. Step 4: Simplify right side
    6,709.50x = 21,059,725.61
  5. Step 5: Solve for x
    x = 21,059,725.61/6,709.50
  6. Step 6: Final answer
    x = 3,138.79

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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.