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Finding the Fourth Proportional to 11,596.55, 16,016.27 and 7,813.09

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Solution

The fourth proportional to 11,596.55, 16,016.27 and 7,813.09 is: 10,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.55 : 16,016.27 = 7,813.09 : x
  2. Step 2: Convert to fraction form
    11,596.55/16,016.27 = 7,813.09/x
  3. Step 3: Cross multiply
    11,596.55x = 16,016.27 × 7,813.09
  4. Step 4: Simplify right side
    11,596.55x = 125,136,558.97
  5. Step 5: Solve for x
    x = 125,136,558.97/11,596.55
  6. Step 6: Final answer
    x = 10,790.84

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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.