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Finding the Fourth Proportional to 6,380.59, 9,546.84 and 5,733.13

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Solution

The fourth proportional to 6,380.59, 9,546.84 and 5,733.13 is: 8,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.59 : 9,546.84 = 5,733.13 : x
  2. Step 2: Convert to fraction form
    6,380.59/9,546.84 = 5,733.13/x
  3. Step 3: Cross multiply
    6,380.59x = 9,546.84 × 5,733.13
  4. Step 4: Simplify right side
    6,380.59x = 54,733,274.81
  5. Step 5: Solve for x
    x = 54,733,274.81/6,380.59
  6. Step 6: Final answer
    x = 8,578.09

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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.