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Finding the Fourth Proportional to 6,936.94, 10,405.10 and 2,006.47

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Solution

The fourth proportional to 6,936.94, 10,405.10 and 2,006.47 is: 3,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.94 : 10,405.10 = 2,006.47 : x
  2. Step 2: Convert to fraction form
    6,936.94/10,405.10 = 2,006.47/x
  3. Step 3: Cross multiply
    6,936.94x = 10,405.10 × 2,006.47
  4. Step 4: Simplify right side
    6,936.94x = 20,877,468.97
  5. Step 5: Solve for x
    x = 20,877,468.97/6,936.94
  6. Step 6: Final answer
    x = 3,009.61

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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.