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Finding the Fourth Proportional to 6,892.80, 10,339.20 and 3,976.80

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Solution

The fourth proportional to 6,892.80, 10,339.20 and 3,976.80 is: 5,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.80 : 10,339.20 = 3,976.80 : x
  2. Step 2: Convert to fraction form
    6,892.80/10,339.20 = 3,976.80/x
  3. Step 3: Cross multiply
    6,892.80x = 10,339.20 × 3,976.80
  4. Step 4: Simplify right side
    6,892.80x = 41,116,930.56
  5. Step 5: Solve for x
    x = 41,116,930.56/6,892.80
  6. Step 6: Final answer
    x = 5,965.20

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1.5x scale

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.