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Finding the Fourth Proportional to 6,208.18, 9,314.09 and 2,508.50

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Solution

The fourth proportional to 6,208.18, 9,314.09 and 2,508.50 is: 3,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.18 : 9,314.09 = 2,508.50 : x
  2. Step 2: Convert to fraction form
    6,208.18/9,314.09 = 2,508.50/x
  3. Step 3: Cross multiply
    6,208.18x = 9,314.09 × 2,508.50
  4. Step 4: Simplify right side
    6,208.18x = 23,364,414.91
  5. Step 5: Solve for x
    x = 23,364,414.91/6,208.18
  6. Step 6: Final answer
    x = 3,763.49

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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.