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Finding the Fourth Proportional to 12,212.70, 18,340.65 and 9,446.10

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Solution

The fourth proportional to 12,212.70, 18,340.65 and 9,446.10 is: 14,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.70 : 18,340.65 = 9,446.10 : x
  2. Step 2: Convert to fraction form
    12,212.70/18,340.65 = 9,446.10/x
  3. Step 3: Cross multiply
    12,212.70x = 18,340.65 × 9,446.10
  4. Step 4: Simplify right side
    12,212.70x = 173,247,613.97
  5. Step 5: Solve for x
    x = 173,247,613.97/12,212.70
  6. Step 6: Final answer
    x = 14,185.86

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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.