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Finding the Fourth Proportional to 6,578.12, 9,867.28 and 3,674.92

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Solution

The fourth proportional to 6,578.12, 9,867.28 and 3,674.92 is: 5,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.12 : 9,867.28 = 3,674.92 : x
  2. Step 2: Convert to fraction form
    6,578.12/9,867.28 = 3,674.92/x
  3. Step 3: Cross multiply
    6,578.12x = 9,867.28 × 3,674.92
  4. Step 4: Simplify right side
    6,578.12x = 36,261,464.62
  5. Step 5: Solve for x
    x = 36,261,464.62/6,578.12
  6. Step 6: Final answer
    x = 5,512.44

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1.5x scale

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.