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Finding the Fourth Proportional to 6,684.92, 10,027.38 and 3,761.63

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Solution

The fourth proportional to 6,684.92, 10,027.38 and 3,761.63 is: 5,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.92 : 10,027.38 = 3,761.63 : x
  2. Step 2: Convert to fraction form
    6,684.92/10,027.38 = 3,761.63/x
  3. Step 3: Cross multiply
    6,684.92x = 10,027.38 × 3,761.63
  4. Step 4: Simplify right side
    6,684.92x = 37,719,293.43
  5. Step 5: Solve for x
    x = 37,719,293.43/6,684.92
  6. Step 6: Final answer
    x = 5,642.45

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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.