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Finding the Fourth Proportional to 6,213.60, 8,571.13 and 3,974.65

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Solution

The fourth proportional to 6,213.60, 8,571.13 and 3,974.65 is: 5,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.60 : 8,571.13 = 3,974.65 : x
  2. Step 2: Convert to fraction form
    6,213.60/8,571.13 = 3,974.65/x
  3. Step 3: Cross multiply
    6,213.60x = 8,571.13 × 3,974.65
  4. Step 4: Simplify right side
    6,213.60x = 34,067,210.49
  5. Step 5: Solve for x
    x = 34,067,210.49/6,213.60
  6. Step 6: Final answer
    x = 5,482.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.