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Finding the Fourth Proportional to 6,216.64, 8,578.44 and 3,563.44

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Solution

The fourth proportional to 6,216.64, 8,578.44 and 3,563.44 is: 4,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.64 : 8,578.44 = 3,563.44 : x
  2. Step 2: Convert to fraction form
    6,216.64/8,578.44 = 3,563.44/x
  3. Step 3: Cross multiply
    6,216.64x = 8,578.44 × 3,563.44
  4. Step 4: Simplify right side
    6,216.64x = 30,568,756.23
  5. Step 5: Solve for x
    x = 30,568,756.23/6,216.64
  6. Step 6: Final answer
    x = 4,917.25

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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.