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Finding the Fourth Proportional to 12,226.70, 18,327.90 and 5,641.40

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Solution

The fourth proportional to 12,226.70, 18,327.90 and 5,641.40 is: 8,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.70 : 18,327.90 = 5,641.40 : x
  2. Step 2: Convert to fraction form
    12,226.70/18,327.90 = 5,641.40/x
  3. Step 3: Cross multiply
    12,226.70x = 18,327.90 × 5,641.40
  4. Step 4: Simplify right side
    12,226.70x = 103,395,015.06
  5. Step 5: Solve for x
    x = 103,395,015.06/12,226.70
  6. Step 6: Final answer
    x = 8,456.49

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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.