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Finding the Fourth Proportional to 11,593.63, 15,997.75 and 6,877

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Solution

The fourth proportional to 11,593.63, 15,997.75 and 6,877 is: 9,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.63 : 15,997.75 = 6,877 : x
  2. Step 2: Convert to fraction form
    11,593.63/15,997.75 = 6,877/x
  3. Step 3: Cross multiply
    11,593.63x = 15,997.75 × 6,877
  4. Step 4: Simplify right side
    11,593.63x = 110,016,526.75
  5. Step 5: Solve for x
    x = 110,016,526.75/11,593.63
  6. Step 6: Final answer
    x = 9,489.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.