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Finding the Fourth Proportional to 9,997.64, 14,996.44 and 4,077

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Solution

The fourth proportional to 9,997.64, 14,996.44 and 4,077 is: 6,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.64 : 14,996.44 = 4,077 : x
  2. Step 2: Convert to fraction form
    9,997.64/14,996.44 = 4,077/x
  3. Step 3: Cross multiply
    9,997.64x = 14,996.44 × 4,077
  4. Step 4: Simplify right side
    9,997.64x = 61,140,485.88
  5. Step 5: Solve for x
    x = 61,140,485.88/9,997.64
  6. Step 6: Final answer
    x = 6,115.49

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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.