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Finding the Fourth Proportional to 8,216.94, 12,327.24 and 2,373.09

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Solution

The fourth proportional to 8,216.94, 12,327.24 and 2,373.09 is: 3,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.94 : 12,327.24 = 2,373.09 : x
  2. Step 2: Convert to fraction form
    8,216.94/12,327.24 = 2,373.09/x
  3. Step 3: Cross multiply
    8,216.94x = 12,327.24 × 2,373.09
  4. Step 4: Simplify right side
    8,216.94x = 29,253,649.97
  5. Step 5: Solve for x
    x = 29,253,649.97/8,216.94
  6. Step 6: Final answer
    x = 3,560.16

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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.