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Finding the Fourth Proportional to 6,282.54, 9,425.25 and 2,725.25

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Solution

The fourth proportional to 6,282.54, 9,425.25 and 2,725.25 is: 4,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.54 : 9,425.25 = 2,725.25 : x
  2. Step 2: Convert to fraction form
    6,282.54/9,425.25 = 2,725.25/x
  3. Step 3: Cross multiply
    6,282.54x = 9,425.25 × 2,725.25
  4. Step 4: Simplify right side
    6,282.54x = 25,686,115.44
  5. Step 5: Solve for x
    x = 25,686,115.44/6,282.54
  6. Step 6: Final answer
    x = 4,088.49

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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.