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Finding the Fourth Proportional to 6,762.40, 10,144.50 and 2,082.74

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Solution

The fourth proportional to 6,762.40, 10,144.50 and 2,082.74 is: 3,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.40 : 10,144.50 = 2,082.74 : x
  2. Step 2: Convert to fraction form
    6,762.40/10,144.50 = 2,082.74/x
  3. Step 3: Cross multiply
    6,762.40x = 10,144.50 × 2,082.74
  4. Step 4: Simplify right side
    6,762.40x = 21,128,355.93
  5. Step 5: Solve for x
    x = 21,128,355.93/6,762.40
  6. Step 6: Final answer
    x = 3,124.39

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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.