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Finding the Fourth Proportional to 8,152.80, 12,230.22 and 2,309.40

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Solution

The fourth proportional to 8,152.80, 12,230.22 and 2,309.40 is: 3,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.80 : 12,230.22 = 2,309.40 : x
  2. Step 2: Convert to fraction form
    8,152.80/12,230.22 = 2,309.40/x
  3. Step 3: Cross multiply
    8,152.80x = 12,230.22 × 2,309.40
  4. Step 4: Simplify right side
    8,152.80x = 28,244,470.07
  5. Step 5: Solve for x
    x = 28,244,470.07/8,152.80
  6. Step 6: Final answer
    x = 3,464.39

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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.