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Finding the Fourth Proportional to 5,944.64, 8,908.70 and 5,767.25

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Solution

The fourth proportional to 5,944.64, 8,908.70 and 5,767.25 is: 8,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.64 : 8,908.70 = 5,767.25 : x
  2. Step 2: Convert to fraction form
    5,944.64/8,908.70 = 5,767.25/x
  3. Step 3: Cross multiply
    5,944.64x = 8,908.70 × 5,767.25
  4. Step 4: Simplify right side
    5,944.64x = 51,378,626.70
  5. Step 5: Solve for x
    x = 51,378,626.70/5,944.64
  6. Step 6: Final answer
    x = 8,642.86

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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.