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Finding the Fourth Proportional to 6,944.94, 9,585.14 and 3,960.90

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Solution

The fourth proportional to 6,944.94, 9,585.14 and 3,960.90 is: 5,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.94 : 9,585.14 = 3,960.90 : x
  2. Step 2: Convert to fraction form
    6,944.94/9,585.14 = 3,960.90/x
  3. Step 3: Cross multiply
    6,944.94x = 9,585.14 × 3,960.90
  4. Step 4: Simplify right side
    6,944.94x = 37,965,761.22
  5. Step 5: Solve for x
    x = 37,965,761.22/6,944.94
  6. Step 6: Final answer
    x = 5,466.68

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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.