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Finding the Fourth Proportional to 6,154.67, 9,226.32 and 2,456

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Solution

The fourth proportional to 6,154.67, 9,226.32 and 2,456 is: 3,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.67 : 9,226.32 = 2,456 : x
  2. Step 2: Convert to fraction form
    6,154.67/9,226.32 = 2,456/x
  3. Step 3: Cross multiply
    6,154.67x = 9,226.32 × 2,456
  4. Step 4: Simplify right side
    6,154.67x = 22,659,841.92
  5. Step 5: Solve for x
    x = 22,659,841.92/6,154.67
  6. Step 6: Final answer
    x = 3,681.73

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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.