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Finding the Fourth Proportional to 6,367.86, 8,786.62 and 3,535.17

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Solution

The fourth proportional to 6,367.86, 8,786.62 and 3,535.17 is: 4,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.86 : 8,786.62 = 3,535.17 : x
  2. Step 2: Convert to fraction form
    6,367.86/8,786.62 = 3,535.17/x
  3. Step 3: Cross multiply
    6,367.86x = 8,786.62 × 3,535.17
  4. Step 4: Simplify right side
    6,367.86x = 31,062,195.43
  5. Step 5: Solve for x
    x = 31,062,195.43/6,367.86
  6. Step 6: Final answer
    x = 4,877.96

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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.