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Finding the Fourth Proportional to 6,833.77, 10,250.35 and 3,914.12

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Solution

The fourth proportional to 6,833.77, 10,250.35 and 3,914.12 is: 5,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.77 : 10,250.35 = 3,914.12 : x
  2. Step 2: Convert to fraction form
    6,833.77/10,250.35 = 3,914.12/x
  3. Step 3: Cross multiply
    6,833.77x = 10,250.35 × 3,914.12
  4. Step 4: Simplify right side
    6,833.77x = 40,121,115.78
  5. Step 5: Solve for x
    x = 40,121,115.78/6,833.77
  6. Step 6: Final answer
    x = 5,871.01

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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.