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Finding the Fourth Proportional to 6,414.95, 9,623.06 and 2,665.96

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Solution

The fourth proportional to 6,414.95, 9,623.06 and 2,665.96 is: 3,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.95 : 9,623.06 = 2,665.96 : x
  2. Step 2: Convert to fraction form
    6,414.95/9,623.06 = 2,665.96/x
  3. Step 3: Cross multiply
    6,414.95x = 9,623.06 × 2,665.96
  4. Step 4: Simplify right side
    6,414.95x = 25,654,631.59
  5. Step 5: Solve for x
    x = 25,654,631.59/6,414.95
  6. Step 6: Final answer
    x = 3,999.19

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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.