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Finding the Fourth Proportional to 6,344.19, 8,754.62 and 3,827.12

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Solution

The fourth proportional to 6,344.19, 8,754.62 and 3,827.12 is: 5,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.19 : 8,754.62 = 3,827.12 : x
  2. Step 2: Convert to fraction form
    6,344.19/8,754.62 = 3,827.12/x
  3. Step 3: Cross multiply
    6,344.19x = 8,754.62 × 3,827.12
  4. Step 4: Simplify right side
    6,344.19x = 33,504,918.39
  5. Step 5: Solve for x
    x = 33,504,918.39/6,344.19
  6. Step 6: Final answer
    x = 5,281.20

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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.