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Finding the Fourth Proportional to 6,550.79, 9,826.19 and 2,167.07

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Solution

The fourth proportional to 6,550.79, 9,826.19 and 2,167.07 is: 3,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.79 : 9,826.19 = 2,167.07 : x
  2. Step 2: Convert to fraction form
    6,550.79/9,826.19 = 2,167.07/x
  3. Step 3: Cross multiply
    6,550.79x = 9,826.19 × 2,167.07
  4. Step 4: Simplify right side
    6,550.79x = 21,294,041.56
  5. Step 5: Solve for x
    x = 21,294,041.56/6,550.79
  6. Step 6: Final answer
    x = 3,250.61

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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.