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Finding the Fourth Proportional to 8,209.80, 12,318.82 and 3,827.60

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Solution

The fourth proportional to 8,209.80, 12,318.82 and 3,827.60 is: 5,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.80 : 12,318.82 = 3,827.60 : x
  2. Step 2: Convert to fraction form
    8,209.80/12,318.82 = 3,827.60/x
  3. Step 3: Cross multiply
    8,209.80x = 12,318.82 × 3,827.60
  4. Step 4: Simplify right side
    8,209.80x = 47,151,515.43
  5. Step 5: Solve for x
    x = 47,151,515.43/8,209.80
  6. Step 6: Final answer
    x = 5,743.32

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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.