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Finding the Fourth Proportional to 7,238.97, 9,983.66 and 5,910.37

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Solution

The fourth proportional to 7,238.97, 9,983.66 and 5,910.37 is: 8,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.97 : 9,983.66 = 5,910.37 : x
  2. Step 2: Convert to fraction form
    7,238.97/9,983.66 = 5,910.37/x
  3. Step 3: Cross multiply
    7,238.97x = 9,983.66 × 5,910.37
  4. Step 4: Simplify right side
    7,238.97x = 59,007,070.04
  5. Step 5: Solve for x
    x = 59,007,070.04/7,238.97
  6. Step 6: Final answer
    x = 8,151.31

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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.