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Finding the Fourth Proportional to 7,853.57, 11,781.11 and 2,586.42

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Solution

The fourth proportional to 7,853.57, 11,781.11 and 2,586.42 is: 3,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.57 : 11,781.11 = 2,586.42 : x
  2. Step 2: Convert to fraction form
    7,853.57/11,781.11 = 2,586.42/x
  3. Step 3: Cross multiply
    7,853.57x = 11,781.11 × 2,586.42
  4. Step 4: Simplify right side
    7,853.57x = 30,470,885.59
  5. Step 5: Solve for x
    x = 30,470,885.59/7,853.57
  6. Step 6: Final answer
    x = 3,879.88

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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.