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Finding the Fourth Proportional to 11,971.02, 16,519.50 and 6,665.70

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Solution

The fourth proportional to 11,971.02, 16,519.50 and 6,665.70 is: 9,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.02 : 16,519.50 = 6,665.70 : x
  2. Step 2: Convert to fraction form
    11,971.02/16,519.50 = 6,665.70/x
  3. Step 3: Cross multiply
    11,971.02x = 16,519.50 × 6,665.70
  4. Step 4: Simplify right side
    11,971.02x = 110,114,031.15
  5. Step 5: Solve for x
    x = 110,114,031.15/11,971.02
  6. Step 6: Final answer
    x = 9,198.38

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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.