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Finding the Fourth Proportional to 6,137.56, 9,206.68 and 1,977.27

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Solution

The fourth proportional to 6,137.56, 9,206.68 and 1,977.27 is: 2,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.56 : 9,206.68 = 1,977.27 : x
  2. Step 2: Convert to fraction form
    6,137.56/9,206.68 = 1,977.27/x
  3. Step 3: Cross multiply
    6,137.56x = 9,206.68 × 1,977.27
  4. Step 4: Simplify right side
    6,137.56x = 18,204,092.16
  5. Step 5: Solve for x
    x = 18,204,092.16/6,137.56
  6. Step 6: Final answer
    x = 2,966.01

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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.