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Finding the Fourth Proportional to 9,998.16, 14,997.24 and 3,837.84

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Solution

The fourth proportional to 9,998.16, 14,997.24 and 3,837.84 is: 5,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.16 : 14,997.24 = 3,837.84 : x
  2. Step 2: Convert to fraction form
    9,998.16/14,997.24 = 3,837.84/x
  3. Step 3: Cross multiply
    9,998.16x = 14,997.24 × 3,837.84
  4. Step 4: Simplify right side
    9,998.16x = 57,557,007.56
  5. Step 5: Solve for x
    x = 57,557,007.56/9,998.16
  6. Step 6: Final answer
    x = 5,756.76

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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.