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Finding the Fourth Proportional to 6,367.82, 8,786.96 and 3,534.51

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Solution

The fourth proportional to 6,367.82, 8,786.96 and 3,534.51 is: 4,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.82 : 8,786.96 = 3,534.51 : x
  2. Step 2: Convert to fraction form
    6,367.82/8,786.96 = 3,534.51/x
  3. Step 3: Cross multiply
    6,367.82x = 8,786.96 × 3,534.51
  4. Step 4: Simplify right side
    6,367.82x = 31,057,591.87
  5. Step 5: Solve for x
    x = 31,057,591.87/6,367.82
  6. Step 6: Final answer
    x = 4,877.28

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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.