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Finding the Fourth Proportional to 11,611.56, 16,026.44 and 9,088.68

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Solution

The fourth proportional to 11,611.56, 16,026.44 and 9,088.68 is: 12,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.56 : 16,026.44 = 9,088.68 : x
  2. Step 2: Convert to fraction form
    11,611.56/16,026.44 = 9,088.68/x
  3. Step 3: Cross multiply
    11,611.56x = 16,026.44 × 9,088.68
  4. Step 4: Simplify right side
    11,611.56x = 145,659,184.70
  5. Step 5: Solve for x
    x = 145,659,184.70/11,611.56
  6. Step 6: Final answer
    x = 12,544.33

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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.