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Finding the Fourth Proportional to 6,944.66, 9,560.13 and 5,369.78

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Solution

The fourth proportional to 6,944.66, 9,560.13 and 5,369.78 is: 7,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.66 : 9,560.13 = 5,369.78 : x
  2. Step 2: Convert to fraction form
    6,944.66/9,560.13 = 5,369.78/x
  3. Step 3: Cross multiply
    6,944.66x = 9,560.13 × 5,369.78
  4. Step 4: Simplify right side
    6,944.66x = 51,335,794.87
  5. Step 5: Solve for x
    x = 51,335,794.87/6,944.66
  6. Step 6: Final answer
    x = 7,392.13

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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.