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Finding the Fourth Proportional to 11,596.53, 15,991.11 and 6,879.90

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Solution

The fourth proportional to 11,596.53, 15,991.11 and 6,879.90 is: 9,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.53 : 15,991.11 = 6,879.90 : x
  2. Step 2: Convert to fraction form
    11,596.53/15,991.11 = 6,879.90/x
  3. Step 3: Cross multiply
    11,596.53x = 15,991.11 × 6,879.90
  4. Step 4: Simplify right side
    11,596.53x = 110,017,237.69
  5. Step 5: Solve for x
    x = 110,017,237.69/11,596.53
  6. Step 6: Final answer
    x = 9,487.08

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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.