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Finding the Fourth Proportional to 6,809.46, 10,200.52 and 4,964.48

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Solution

The fourth proportional to 6,809.46, 10,200.52 and 4,964.48 is: 7,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.46 : 10,200.52 = 4,964.48 : x
  2. Step 2: Convert to fraction form
    6,809.46/10,200.52 = 4,964.48/x
  3. Step 3: Cross multiply
    6,809.46x = 10,200.52 × 4,964.48
  4. Step 4: Simplify right side
    6,809.46x = 50,640,252.71
  5. Step 5: Solve for x
    x = 50,640,252.71/6,809.46
  6. Step 6: Final answer
    x = 7,436.76

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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.