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Finding the Fourth Proportional to 11,600.57, 15,998.20 and 9,811.80

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Solution

The fourth proportional to 11,600.57, 15,998.20 and 9,811.80 is: 13,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.57 : 15,998.20 = 9,811.80 : x
  2. Step 2: Convert to fraction form
    11,600.57/15,998.20 = 9,811.80/x
  3. Step 3: Cross multiply
    11,600.57x = 15,998.20 × 9,811.80
  4. Step 4: Simplify right side
    11,600.57x = 156,971,058.77
  5. Step 5: Solve for x
    x = 156,971,058.77/11,600.57
  6. Step 6: Final answer
    x = 13,531.33

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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.