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Finding the Fourth Proportional to 11,596.62, 16,009.26 and 7,351.98

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Solution

The fourth proportional to 11,596.62, 16,009.26 and 7,351.98 is: 10,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.62 : 16,009.26 = 7,351.98 : x
  2. Step 2: Convert to fraction form
    11,596.62/16,009.26 = 7,351.98/x
  3. Step 3: Cross multiply
    11,596.62x = 16,009.26 × 7,351.98
  4. Step 4: Simplify right side
    11,596.62x = 117,699,759.33
  5. Step 5: Solve for x
    x = 117,699,759.33/11,596.62
  6. Step 6: Final answer
    x = 10,149.49

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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.