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Finding the Fourth Proportional to 11,796.49, 17,697.79 and 4,401

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Solution

The fourth proportional to 11,796.49, 17,697.79 and 4,401 is: 6,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.49 : 17,697.79 = 4,401 : x
  2. Step 2: Convert to fraction form
    11,796.49/17,697.79 = 4,401/x
  3. Step 3: Cross multiply
    11,796.49x = 17,697.79 × 4,401
  4. Step 4: Simplify right side
    11,796.49x = 77,887,979.29
  5. Step 5: Solve for x
    x = 77,887,979.29/11,796.49
  6. Step 6: Final answer
    x = 6,602.64

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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.