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Finding the Fourth Proportional to 6,762, 10,144.28 and 3,114

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Solution

The fourth proportional to 6,762, 10,144.28 and 3,114 is: 4,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762 : 10,144.28 = 3,114 : x
  2. Step 2: Convert to fraction form
    6,762/10,144.28 = 3,114/x
  3. Step 3: Cross multiply
    6,762x = 10,144.28 × 3,114
  4. Step 4: Simplify right side
    6,762x = 31,589,287.92
  5. Step 5: Solve for x
    x = 31,589,287.92/6,762
  6. Step 6: Final answer
    x = 4,671.59

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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.