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Finding the Fourth Proportional to 10,565.69, 14,584.31 and 6,091.22

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Solution

The fourth proportional to 10,565.69, 14,584.31 and 6,091.22 is: 8,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.69 : 14,584.31 = 6,091.22 : x
  2. Step 2: Convert to fraction form
    10,565.69/14,584.31 = 6,091.22/x
  3. Step 3: Cross multiply
    10,565.69x = 14,584.31 × 6,091.22
  4. Step 4: Simplify right side
    10,565.69x = 88,836,137.38
  5. Step 5: Solve for x
    x = 88,836,137.38/10,565.69
  6. Step 6: Final answer
    x = 8,407.99

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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.