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Finding the Fourth Proportional to 5,997.48, 8,998.02 and 3,077.84

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Solution

The fourth proportional to 5,997.48, 8,998.02 and 3,077.84 is: 4,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.48 : 8,998.02 = 3,077.84 : x
  2. Step 2: Convert to fraction form
    5,997.48/8,998.02 = 3,077.84/x
  3. Step 3: Cross multiply
    5,997.48x = 8,998.02 × 3,077.84
  4. Step 4: Simplify right side
    5,997.48x = 27,694,465.88
  5. Step 5: Solve for x
    x = 27,694,465.88/5,997.48
  6. Step 6: Final answer
    x = 4,617.68

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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.