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Finding the Fourth Proportional to 7,144.11, 9,844.83 and 5,467.41

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Solution

The fourth proportional to 7,144.11, 9,844.83 and 5,467.41 is: 7,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.11 : 9,844.83 = 5,467.41 : x
  2. Step 2: Convert to fraction form
    7,144.11/9,844.83 = 5,467.41/x
  3. Step 3: Cross multiply
    7,144.11x = 9,844.83 × 5,467.41
  4. Step 4: Simplify right side
    7,144.11x = 53,825,721.99
  5. Step 5: Solve for x
    x = 53,825,721.99/7,144.11
  6. Step 6: Final answer
    x = 7,534.28

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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.