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Finding the Fourth Proportional to 6,366, 8,785.08 and 3,882.48

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Solution

The fourth proportional to 6,366, 8,785.08 and 3,882.48 is: 5,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366 : 8,785.08 = 3,882.48 : x
  2. Step 2: Convert to fraction form
    6,366/8,785.08 = 3,882.48/x
  3. Step 3: Cross multiply
    6,366x = 8,785.08 × 3,882.48
  4. Step 4: Simplify right side
    6,366x = 34,107,897.40
  5. Step 5: Solve for x
    x = 34,107,897.40/6,366
  6. Step 6: Final answer
    x = 5,357.82

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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.