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Finding the Fourth Proportional to 4,773.78, 7,161.46 and 1,486.22

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Solution

The fourth proportional to 4,773.78, 7,161.46 and 1,486.22 is: 2,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.78 : 7,161.46 = 1,486.22 : x
  2. Step 2: Convert to fraction form
    4,773.78/7,161.46 = 1,486.22/x
  3. Step 3: Cross multiply
    4,773.78x = 7,161.46 × 1,486.22
  4. Step 4: Simplify right side
    4,773.78x = 10,643,505.08
  5. Step 5: Solve for x
    x = 10,643,505.08/4,773.78
  6. Step 6: Final answer
    x = 2,229.58

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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.