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Finding the Fourth Proportional to 22,965.70, 34,448.55 and 8,191.30

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Solution

The fourth proportional to 22,965.70, 34,448.55 and 8,191.30 is: 12,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.70 : 34,448.55 = 8,191.30 : x
  2. Step 2: Convert to fraction form
    22,965.70/34,448.55 = 8,191.30/x
  3. Step 3: Cross multiply
    22,965.70x = 34,448.55 × 8,191.30
  4. Step 4: Simplify right side
    22,965.70x = 282,178,407.62
  5. Step 5: Solve for x
    x = 282,178,407.62/22,965.70
  6. Step 6: Final answer
    x = 12,286.95

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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.