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Finding the Fourth Proportional to 7,892.96, 11,839.52 and 2,049.57

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Solution

The fourth proportional to 7,892.96, 11,839.52 and 2,049.57 is: 3,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.96 : 11,839.52 = 2,049.57 : x
  2. Step 2: Convert to fraction form
    7,892.96/11,839.52 = 2,049.57/x
  3. Step 3: Cross multiply
    7,892.96x = 11,839.52 × 2,049.57
  4. Step 4: Simplify right side
    7,892.96x = 24,265,914.76
  5. Step 5: Solve for x
    x = 24,265,914.76/7,892.96
  6. Step 6: Final answer
    x = 3,074.38

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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.