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Finding the Fourth Proportional to 8,516.70, 11,755.11 and 5,684.22

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Solution

The fourth proportional to 8,516.70, 11,755.11 and 5,684.22 is: 7,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.70 : 11,755.11 = 5,684.22 : x
  2. Step 2: Convert to fraction form
    8,516.70/11,755.11 = 5,684.22/x
  3. Step 3: Cross multiply
    8,516.70x = 11,755.11 × 5,684.22
  4. Step 4: Simplify right side
    8,516.70x = 66,818,631.36
  5. Step 5: Solve for x
    x = 66,818,631.36/8,516.70
  6. Step 6: Final answer
    x = 7,845.60

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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.