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Finding the Fourth Proportional to 6,578.66, 9,856.85 and 3,976.13

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Solution

The fourth proportional to 6,578.66, 9,856.85 and 3,976.13 is: 5,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.66 : 9,856.85 = 3,976.13 : x
  2. Step 2: Convert to fraction form
    6,578.66/9,856.85 = 3,976.13/x
  3. Step 3: Cross multiply
    6,578.66x = 9,856.85 × 3,976.13
  4. Step 4: Simplify right side
    6,578.66x = 39,192,047.83
  5. Step 5: Solve for x
    x = 39,192,047.83/6,578.66
  6. Step 6: Final answer
    x = 5,957.46

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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.