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Finding the Fourth Proportional to 9,682.80, 14,522.04 and 3,446.70

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Solution

The fourth proportional to 9,682.80, 14,522.04 and 3,446.70 is: 5,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.80 : 14,522.04 = 3,446.70 : x
  2. Step 2: Convert to fraction form
    9,682.80/14,522.04 = 3,446.70/x
  3. Step 3: Cross multiply
    9,682.80x = 14,522.04 × 3,446.70
  4. Step 4: Simplify right side
    9,682.80x = 50,053,115.27
  5. Step 5: Solve for x
    x = 50,053,115.27/9,682.80
  6. Step 6: Final answer
    x = 5,169.28

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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.