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Finding the Fourth Proportional to 6,188.39, 9,283.46 and 2,027.50

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Solution

The fourth proportional to 6,188.39, 9,283.46 and 2,027.50 is: 3,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.39 : 9,283.46 = 2,027.50 : x
  2. Step 2: Convert to fraction form
    6,188.39/9,283.46 = 2,027.50/x
  3. Step 3: Cross multiply
    6,188.39x = 9,283.46 × 2,027.50
  4. Step 4: Simplify right side
    6,188.39x = 18,822,215.15
  5. Step 5: Solve for x
    x = 18,822,215.15/6,188.39
  6. Step 6: Final answer
    x = 3,041.54

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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.