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Finding the Fourth Proportional to 6,290.87, 9,426.04 and 3,826.44

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Solution

The fourth proportional to 6,290.87, 9,426.04 and 3,826.44 is: 5,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.87 : 9,426.04 = 3,826.44 : x
  2. Step 2: Convert to fraction form
    6,290.87/9,426.04 = 3,826.44/x
  3. Step 3: Cross multiply
    6,290.87x = 9,426.04 × 3,826.44
  4. Step 4: Simplify right side
    6,290.87x = 36,068,166.93
  5. Step 5: Solve for x
    x = 36,068,166.93/6,290.87
  6. Step 6: Final answer
    x = 5,733.42

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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.