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Finding the Fourth Proportional to 5,998.69, 8,273.91 and 5,200.59

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Solution

The fourth proportional to 5,998.69, 8,273.91 and 5,200.59 is: 7,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.69 : 8,273.91 = 5,200.59 : x
  2. Step 2: Convert to fraction form
    5,998.69/8,273.91 = 5,200.59/x
  3. Step 3: Cross multiply
    5,998.69x = 8,273.91 × 5,200.59
  4. Step 4: Simplify right side
    5,998.69x = 43,029,213.61
  5. Step 5: Solve for x
    x = 43,029,213.61/5,998.69
  6. Step 6: Final answer
    x = 7,173.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.