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Finding the Fourth Proportional to 6,809.74, 10,200.94 and 3,477.85

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Solution

The fourth proportional to 6,809.74, 10,200.94 and 3,477.85 is: 5,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.74 : 10,200.94 = 3,477.85 : x
  2. Step 2: Convert to fraction form
    6,809.74/10,200.94 = 3,477.85/x
  3. Step 3: Cross multiply
    6,809.74x = 10,200.94 × 3,477.85
  4. Step 4: Simplify right side
    6,809.74x = 35,477,304.98
  5. Step 5: Solve for x
    x = 35,477,304.98/6,809.74
  6. Step 6: Final answer
    x = 5,209.79

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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.