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Finding the Fourth Proportional to 5,174.83, 7,759.97 and 1,476.22

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Solution

The fourth proportional to 5,174.83, 7,759.97 and 1,476.22 is: 2,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.83 : 7,759.97 = 1,476.22 : x
  2. Step 2: Convert to fraction form
    5,174.83/7,759.97 = 1,476.22/x
  3. Step 3: Cross multiply
    5,174.83x = 7,759.97 × 1,476.22
  4. Step 4: Simplify right side
    5,174.83x = 11,455,422.91
  5. Step 5: Solve for x
    x = 11,455,422.91/5,174.83
  6. Step 6: Final answer
    x = 2,213.68

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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.