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Finding the Fourth Proportional to 7,087.74, 9,781.83 and 3,944.22

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Solution

The fourth proportional to 7,087.74, 9,781.83 and 3,944.22 is: 5,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.74 : 9,781.83 = 3,944.22 : x
  2. Step 2: Convert to fraction form
    7,087.74/9,781.83 = 3,944.22/x
  3. Step 3: Cross multiply
    7,087.74x = 9,781.83 × 3,944.22
  4. Step 4: Simplify right side
    7,087.74x = 38,581,689.52
  5. Step 5: Solve for x
    x = 38,581,689.52/7,087.74
  6. Step 6: Final answer
    x = 5,443.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.