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Finding the Fourth Proportional to 7,227.54, 9,981.09 and 6,173.46

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Solution

The fourth proportional to 7,227.54, 9,981.09 and 6,173.46 is: 8,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.54 : 9,981.09 = 6,173.46 : x
  2. Step 2: Convert to fraction form
    7,227.54/9,981.09 = 6,173.46/x
  3. Step 3: Cross multiply
    7,227.54x = 9,981.09 × 6,173.46
  4. Step 4: Simplify right side
    7,227.54x = 61,617,859.87
  5. Step 5: Solve for x
    x = 61,617,859.87/7,227.54
  6. Step 6: Final answer
    x = 8,525.43

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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.