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Finding the Fourth Proportional to 4,773.94, 7,161.77 and 1,486.26

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Solution

The fourth proportional to 4,773.94, 7,161.77 and 1,486.26 is: 2,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.94 : 7,161.77 = 1,486.26 : x
  2. Step 2: Convert to fraction form
    4,773.94/7,161.77 = 1,486.26/x
  3. Step 3: Cross multiply
    4,773.94x = 7,161.77 × 1,486.26
  4. Step 4: Simplify right side
    4,773.94x = 10,644,252.28
  5. Step 5: Solve for x
    x = 10,644,252.28/4,773.94
  6. Step 6: Final answer
    x = 2,229.66

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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.