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Finding the Fourth Proportional to 6,818.87, 9,410.78 and 3,834.63

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Solution

The fourth proportional to 6,818.87, 9,410.78 and 3,834.63 is: 5,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.87 : 9,410.78 = 3,834.63 : x
  2. Step 2: Convert to fraction form
    6,818.87/9,410.78 = 3,834.63/x
  3. Step 3: Cross multiply
    6,818.87x = 9,410.78 × 3,834.63
  4. Step 4: Simplify right side
    6,818.87x = 36,086,840.14
  5. Step 5: Solve for x
    x = 36,086,840.14/6,818.87
  6. Step 6: Final answer
    x = 5,292.21

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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.