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Finding the Fourth Proportional to 6,155.49, 9,235.97 and 2,460.49

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Solution

The fourth proportional to 6,155.49, 9,235.97 and 2,460.49 is: 3,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.49 : 9,235.97 = 2,460.49 : x
  2. Step 2: Convert to fraction form
    6,155.49/9,235.97 = 2,460.49/x
  3. Step 3: Cross multiply
    6,155.49x = 9,235.97 × 2,460.49
  4. Step 4: Simplify right side
    6,155.49x = 22,725,012.49
  5. Step 5: Solve for x
    x = 22,725,012.49/6,155.49
  6. Step 6: Final answer
    x = 3,691.83

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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.