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Finding the Fourth Proportional to 4,997.82, 7,496.80 and 2,400.16

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Solution

The fourth proportional to 4,997.82, 7,496.80 and 2,400.16 is: 3,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.82 : 7,496.80 = 2,400.16 : x
  2. Step 2: Convert to fraction form
    4,997.82/7,496.80 = 2,400.16/x
  3. Step 3: Cross multiply
    4,997.82x = 7,496.80 × 2,400.16
  4. Step 4: Simplify right side
    4,997.82x = 17,993,519.49
  5. Step 5: Solve for x
    x = 17,993,519.49/4,997.82
  6. Step 6: Final answer
    x = 3,600.27

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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.