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Finding the Fourth Proportional to 4,997.24, 7,496.98 and 1,919.16

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Solution

The fourth proportional to 4,997.24, 7,496.98 and 1,919.16 is: 2,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.24 : 7,496.98 = 1,919.16 : x
  2. Step 2: Convert to fraction form
    4,997.24/7,496.98 = 1,919.16/x
  3. Step 3: Cross multiply
    4,997.24x = 7,496.98 × 1,919.16
  4. Step 4: Simplify right side
    4,997.24x = 14,387,904.14
  5. Step 5: Solve for x
    x = 14,387,904.14/4,997.24
  6. Step 6: Final answer
    x = 2,879.17

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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.