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Finding the Fourth Proportional to 10,394.37, 15,589.67 and 2,997

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Solution

The fourth proportional to 10,394.37, 15,589.67 and 2,997 is: 4,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.37 : 15,589.67 = 2,997 : x
  2. Step 2: Convert to fraction form
    10,394.37/15,589.67 = 2,997/x
  3. Step 3: Cross multiply
    10,394.37x = 15,589.67 × 2,997
  4. Step 4: Simplify right side
    10,394.37x = 46,722,226.01
  5. Step 5: Solve for x
    x = 46,722,226.01/10,394.37
  6. Step 6: Final answer
    x = 4,494.96

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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.