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Finding the Fourth Proportional to 8,374.83, 12,550.51 and 6,293.50

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Solution

The fourth proportional to 8,374.83, 12,550.51 and 6,293.50 is: 9,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.83 : 12,550.51 = 6,293.50 : x
  2. Step 2: Convert to fraction form
    8,374.83/12,550.51 = 6,293.50/x
  3. Step 3: Cross multiply
    8,374.83x = 12,550.51 × 6,293.50
  4. Step 4: Simplify right side
    8,374.83x = 78,986,634.69
  5. Step 5: Solve for x
    x = 78,986,634.69/8,374.83
  6. Step 6: Final answer
    x = 9,431.43

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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.