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Finding the Fourth Proportional to 7,857.96, 11,786.90 and 2,014.56

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Solution

The fourth proportional to 7,857.96, 11,786.90 and 2,014.56 is: 3,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.96 : 11,786.90 = 2,014.56 : x
  2. Step 2: Convert to fraction form
    7,857.96/11,786.90 = 2,014.56/x
  3. Step 3: Cross multiply
    7,857.96x = 11,786.90 × 2,014.56
  4. Step 4: Simplify right side
    7,857.96x = 23,745,417.26
  5. Step 5: Solve for x
    x = 23,745,417.26/7,857.96
  6. Step 6: Final answer
    x = 3,021.83

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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.