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Finding the Fourth Proportional to 6,833.18, 10,250.14 and 3,914.30

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Solution

The fourth proportional to 6,833.18, 10,250.14 and 3,914.30 is: 5,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.18 : 10,250.14 = 3,914.30 : x
  2. Step 2: Convert to fraction form
    6,833.18/10,250.14 = 3,914.30/x
  3. Step 3: Cross multiply
    6,833.18x = 10,250.14 × 3,914.30
  4. Step 4: Simplify right side
    6,833.18x = 40,122,123.00
  5. Step 5: Solve for x
    x = 40,122,123.00/6,833.18
  6. Step 6: Final answer
    x = 5,871.66

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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.