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Finding the Fourth Proportional to 8,249.44, 12,374.16 and 2,009.44

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Solution

The fourth proportional to 8,249.44, 12,374.16 and 2,009.44 is: 3,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.44 : 12,374.16 = 2,009.44 : x
  2. Step 2: Convert to fraction form
    8,249.44/12,374.16 = 2,009.44/x
  3. Step 3: Cross multiply
    8,249.44x = 12,374.16 × 2,009.44
  4. Step 4: Simplify right side
    8,249.44x = 24,865,132.07
  5. Step 5: Solve for x
    x = 24,865,132.07/8,249.44
  6. Step 6: Final answer
    x = 3,014.16

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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.