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Finding the Fourth Proportional to 6,334.97, 8,742.69 and 3,502.27

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Solution

The fourth proportional to 6,334.97, 8,742.69 and 3,502.27 is: 4,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.97 : 8,742.69 = 3,502.27 : x
  2. Step 2: Convert to fraction form
    6,334.97/8,742.69 = 3,502.27/x
  3. Step 3: Cross multiply
    6,334.97x = 8,742.69 × 3,502.27
  4. Step 4: Simplify right side
    6,334.97x = 30,619,239.05
  5. Step 5: Solve for x
    x = 30,619,239.05/6,334.97
  6. Step 6: Final answer
    x = 4,833.37

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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.