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Finding the Fourth Proportional to 6,753.87, 10,131.68 and 2,538.50

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Solution

The fourth proportional to 6,753.87, 10,131.68 and 2,538.50 is: 3,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.87 : 10,131.68 = 2,538.50 : x
  2. Step 2: Convert to fraction form
    6,753.87/10,131.68 = 2,538.50/x
  3. Step 3: Cross multiply
    6,753.87x = 10,131.68 × 2,538.50
  4. Step 4: Simplify right side
    6,753.87x = 25,719,225.37
  5. Step 5: Solve for x
    x = 25,719,225.37/6,753.87
  6. Step 6: Final answer
    x = 3,808.07

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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.