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Finding the Fourth Proportional to 8,380.94, 11,559.26 and 5,694.21

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Solution

The fourth proportional to 8,380.94, 11,559.26 and 5,694.21 is: 7,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.94 : 11,559.26 = 5,694.21 : x
  2. Step 2: Convert to fraction form
    8,380.94/11,559.26 = 5,694.21/x
  3. Step 3: Cross multiply
    8,380.94x = 11,559.26 × 5,694.21
  4. Step 4: Simplify right side
    8,380.94x = 65,820,868.12
  5. Step 5: Solve for x
    x = 65,820,868.12/8,380.94
  6. Step 6: Final answer
    x = 7,853.64

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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.