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Finding the Fourth Proportional to 6,141, 9,212.94 and 2,037

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Solution

The fourth proportional to 6,141, 9,212.94 and 2,037 is: 3,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141 : 9,212.94 = 2,037 : x
  2. Step 2: Convert to fraction form
    6,141/9,212.94 = 2,037/x
  3. Step 3: Cross multiply
    6,141x = 9,212.94 × 2,037
  4. Step 4: Simplify right side
    6,141x = 18,766,758.78
  5. Step 5: Solve for x
    x = 18,766,758.78/6,141
  6. Step 6: Final answer
    x = 3,055.98

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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.