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Finding the Fourth Proportional to 6,872.68, 10,309.02 and 2,977

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Solution

The fourth proportional to 6,872.68, 10,309.02 and 2,977 is: 4,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.68 : 10,309.02 = 2,977 : x
  2. Step 2: Convert to fraction form
    6,872.68/10,309.02 = 2,977/x
  3. Step 3: Cross multiply
    6,872.68x = 10,309.02 × 2,977
  4. Step 4: Simplify right side
    6,872.68x = 30,689,952.54
  5. Step 5: Solve for x
    x = 30,689,952.54/6,872.68
  6. Step 6: Final answer
    x = 4,465.50

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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.