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Finding the Fourth Proportional to 6,934.87, 10,404.93 and 4,163.48

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Solution

The fourth proportional to 6,934.87, 10,404.93 and 4,163.48 is: 6,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.87 : 10,404.93 = 4,163.48 : x
  2. Step 2: Convert to fraction form
    6,934.87/10,404.93 = 4,163.48/x
  3. Step 3: Cross multiply
    6,934.87x = 10,404.93 × 4,163.48
  4. Step 4: Simplify right side
    6,934.87x = 43,320,720.56
  5. Step 5: Solve for x
    x = 43,320,720.56/6,934.87
  6. Step 6: Final answer
    x = 6,246.80

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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.