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Finding the Fourth Proportional to 6,811.59, 10,214.20 and 2,428.03

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Solution

The fourth proportional to 6,811.59, 10,214.20 and 2,428.03 is: 3,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.59 : 10,214.20 = 2,428.03 : x
  2. Step 2: Convert to fraction form
    6,811.59/10,214.20 = 2,428.03/x
  3. Step 3: Cross multiply
    6,811.59x = 10,214.20 × 2,428.03
  4. Step 4: Simplify right side
    6,811.59x = 24,800,342.37
  5. Step 5: Solve for x
    x = 24,800,342.37/6,811.59
  6. Step 6: Final answer
    x = 3,640.90

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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.