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Finding the Fourth Proportional to 6,789.64, 9,369.54 and 3,805.60

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Solution

The fourth proportional to 6,789.64, 9,369.54 and 3,805.60 is: 5,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.64 : 9,369.54 = 3,805.60 : x
  2. Step 2: Convert to fraction form
    6,789.64/9,369.54 = 3,805.60/x
  3. Step 3: Cross multiply
    6,789.64x = 9,369.54 × 3,805.60
  4. Step 4: Simplify right side
    6,789.64x = 35,656,721.42
  5. Step 5: Solve for x
    x = 35,656,721.42/6,789.64
  6. Step 6: Final answer
    x = 5,251.64

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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.