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Finding the Fourth Proportional to 6,086.34, 9,129.60 and 2,623.50

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Solution

The fourth proportional to 6,086.34, 9,129.60 and 2,623.50 is: 3,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.34 : 9,129.60 = 2,623.50 : x
  2. Step 2: Convert to fraction form
    6,086.34/9,129.60 = 2,623.50/x
  3. Step 3: Cross multiply
    6,086.34x = 9,129.60 × 2,623.50
  4. Step 4: Simplify right side
    6,086.34x = 23,951,505.60
  5. Step 5: Solve for x
    x = 23,951,505.60/6,086.34
  6. Step 6: Final answer
    x = 3,935.29

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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.