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Finding the Fourth Proportional to 7,062, 10,593.24 and 2,131.80

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Solution

The fourth proportional to 7,062, 10,593.24 and 2,131.80 is: 3,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062 : 10,593.24 = 2,131.80 : x
  2. Step 2: Convert to fraction form
    7,062/10,593.24 = 2,131.80/x
  3. Step 3: Cross multiply
    7,062x = 10,593.24 × 2,131.80
  4. Step 4: Simplify right side
    7,062x = 22,582,669.03
  5. Step 5: Solve for x
    x = 22,582,669.03/7,062
  6. Step 6: Final answer
    x = 3,197.77

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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.