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Finding the Fourth Proportional to 11,665.77, 16,099.18 and 6,629.82

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Solution

The fourth proportional to 11,665.77, 16,099.18 and 6,629.82 is: 9,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.77 : 16,099.18 = 6,629.82 : x
  2. Step 2: Convert to fraction form
    11,665.77/16,099.18 = 6,629.82/x
  3. Step 3: Cross multiply
    11,665.77x = 16,099.18 × 6,629.82
  4. Step 4: Simplify right side
    11,665.77x = 106,734,743.08
  5. Step 5: Solve for x
    x = 106,734,743.08/11,665.77
  6. Step 6: Final answer
    x = 9,149.39

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1.5x scale

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.