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Finding the Fourth Proportional to 6,155.77, 9,233.67 and 2,458.30

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Solution

The fourth proportional to 6,155.77, 9,233.67 and 2,458.30 is: 3,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.77 : 9,233.67 = 2,458.30 : x
  2. Step 2: Convert to fraction form
    6,155.77/9,233.67 = 2,458.30/x
  3. Step 3: Cross multiply
    6,155.77x = 9,233.67 × 2,458.30
  4. Step 4: Simplify right side
    6,155.77x = 22,699,072.50
  5. Step 5: Solve for x
    x = 22,699,072.50/6,155.77
  6. Step 6: Final answer
    x = 3,687.45

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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.