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Finding the Fourth Proportional to 6,936.41, 10,407.23 and 4,165.01

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Solution

The fourth proportional to 6,936.41, 10,407.23 and 4,165.01 is: 6,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.41 : 10,407.23 = 4,165.01 : x
  2. Step 2: Convert to fraction form
    6,936.41/10,407.23 = 4,165.01/x
  3. Step 3: Cross multiply
    6,936.41x = 10,407.23 × 4,165.01
  4. Step 4: Simplify right side
    6,936.41x = 43,346,198.81
  5. Step 5: Solve for x
    x = 43,346,198.81/6,936.41
  6. Step 6: Final answer
    x = 6,249.09

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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.