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Finding the Fourth Proportional to 9,516.69, 14,324.65 and 8,611.11

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Solution

The fourth proportional to 9,516.69, 14,324.65 and 8,611.11 is: 12,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.69 : 14,324.65 = 8,611.11 : x
  2. Step 2: Convert to fraction form
    9,516.69/14,324.65 = 8,611.11/x
  3. Step 3: Cross multiply
    9,516.69x = 14,324.65 × 8,611.11
  4. Step 4: Simplify right side
    9,516.69x = 123,351,115.33
  5. Step 5: Solve for x
    x = 123,351,115.33/9,516.69
  6. Step 6: Final answer
    x = 12,961.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.