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Finding the Fourth Proportional to 11,163.22, 16,706.07 and 6,944.74

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Solution

The fourth proportional to 11,163.22, 16,706.07 and 6,944.74 is: 10,393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.22 : 16,706.07 = 6,944.74 : x
  2. Step 2: Convert to fraction form
    11,163.22/16,706.07 = 6,944.74/x
  3. Step 3: Cross multiply
    11,163.22x = 16,706.07 × 6,944.74
  4. Step 4: Simplify right side
    11,163.22x = 116,019,312.57
  5. Step 5: Solve for x
    x = 116,019,312.57/11,163.22
  6. Step 6: Final answer
    x = 10,393.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.