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Finding the Fourth Proportional to 11,596.75, 16,003.52 and 6,628.75

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Solution

The fourth proportional to 11,596.75, 16,003.52 and 6,628.75 is: 9,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.75 : 16,003.52 = 6,628.75 : x
  2. Step 2: Convert to fraction form
    11,596.75/16,003.52 = 6,628.75/x
  3. Step 3: Cross multiply
    11,596.75x = 16,003.52 × 6,628.75
  4. Step 4: Simplify right side
    11,596.75x = 106,083,333.20
  5. Step 5: Solve for x
    x = 106,083,333.20/11,596.75
  6. Step 6: Final answer
    x = 9,147.68

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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.