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Finding the Fourth Proportional to 6,825.70, 9,419.72 and 3,801.09

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Solution

The fourth proportional to 6,825.70, 9,419.72 and 3,801.09 is: 5,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.70 : 9,419.72 = 3,801.09 : x
  2. Step 2: Convert to fraction form
    6,825.70/9,419.72 = 3,801.09/x
  3. Step 3: Cross multiply
    6,825.70x = 9,419.72 × 3,801.09
  4. Step 4: Simplify right side
    6,825.70x = 35,805,203.49
  5. Step 5: Solve for x
    x = 35,805,203.49/6,825.70
  6. Step 6: Final answer
    x = 5,245.65

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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.