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Finding the Fourth Proportional to 8,216.64, 12,327.24 and 3,534.32

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Solution

The fourth proportional to 8,216.64, 12,327.24 and 3,534.32 is: 5,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.64 : 12,327.24 = 3,534.32 : x
  2. Step 2: Convert to fraction form
    8,216.64/12,327.24 = 3,534.32/x
  3. Step 3: Cross multiply
    8,216.64x = 12,327.24 × 3,534.32
  4. Step 4: Simplify right side
    8,216.64x = 43,568,410.88
  5. Step 5: Solve for x
    x = 43,568,410.88/8,216.64
  6. Step 6: Final answer
    x = 5,302.46

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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.