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Finding the Fourth Proportional to 6,809.44, 10,213.80 and 2,914.24

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Solution

The fourth proportional to 6,809.44, 10,213.80 and 2,914.24 is: 4,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.44 : 10,213.80 = 2,914.24 : x
  2. Step 2: Convert to fraction form
    6,809.44/10,213.80 = 2,914.24/x
  3. Step 3: Cross multiply
    6,809.44x = 10,213.80 × 2,914.24
  4. Step 4: Simplify right side
    6,809.44x = 29,765,464.51
  5. Step 5: Solve for x
    x = 29,765,464.51/6,809.44
  6. Step 6: Final answer
    x = 4,371.21

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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.