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Finding the Fourth Proportional to 6,176, 9,264.96 and 2,072.96

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Solution

The fourth proportional to 6,176, 9,264.96 and 2,072.96 is: 3,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176 : 9,264.96 = 2,072.96 : x
  2. Step 2: Convert to fraction form
    6,176/9,264.96 = 2,072.96/x
  3. Step 3: Cross multiply
    6,176x = 9,264.96 × 2,072.96
  4. Step 4: Simplify right side
    6,176x = 19,205,891.48
  5. Step 5: Solve for x
    x = 19,205,891.48/6,176
  6. Step 6: Final answer
    x = 3,109.76

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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.