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Finding the Fourth Proportional to 6,809.57, 10,214.07 and 1,879.08

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Solution

The fourth proportional to 6,809.57, 10,214.07 and 1,879.08 is: 2,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.57 : 10,214.07 = 1,879.08 : x
  2. Step 2: Convert to fraction form
    6,809.57/10,214.07 = 1,879.08/x
  3. Step 3: Cross multiply
    6,809.57x = 10,214.07 × 1,879.08
  4. Step 4: Simplify right side
    6,809.57x = 19,193,035.50
  5. Step 5: Solve for x
    x = 19,193,035.50/6,809.57
  6. Step 6: Final answer
    x = 2,818.54

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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.