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Finding the Fourth Proportional to 8,237.10, 12,367.94 and 8,114.08

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Solution

The fourth proportional to 8,237.10, 12,367.94 and 8,114.08 is: 12,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.10 : 12,367.94 = 8,114.08 : x
  2. Step 2: Convert to fraction form
    8,237.10/12,367.94 = 8,114.08/x
  3. Step 3: Cross multiply
    8,237.10x = 12,367.94 × 8,114.08
  4. Step 4: Simplify right side
    8,237.10x = 100,354,454.60
  5. Step 5: Solve for x
    x = 100,354,454.60/8,237.10
  6. Step 6: Final answer
    x = 12,183.23

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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.