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Finding the Fourth Proportional to 6,093.40, 8,405.04 and 3,854.56

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Solution

The fourth proportional to 6,093.40, 8,405.04 and 3,854.56 is: 5,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.40 : 8,405.04 = 3,854.56 : x
  2. Step 2: Convert to fraction form
    6,093.40/8,405.04 = 3,854.56/x
  3. Step 3: Cross multiply
    6,093.40x = 8,405.04 × 3,854.56
  4. Step 4: Simplify right side
    6,093.40x = 32,397,730.98
  5. Step 5: Solve for x
    x = 32,397,730.98/6,093.40
  6. Step 6: Final answer
    x = 5,316.86

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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.