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Finding the Fourth Proportional to 10,194.91, 14,057.57 and 6,413.45

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Solution

The fourth proportional to 10,194.91, 14,057.57 and 6,413.45 is: 8,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.91 : 14,057.57 = 6,413.45 : x
  2. Step 2: Convert to fraction form
    10,194.91/14,057.57 = 6,413.45/x
  3. Step 3: Cross multiply
    10,194.91x = 14,057.57 × 6,413.45
  4. Step 4: Simplify right side
    10,194.91x = 90,157,468.06
  5. Step 5: Solve for x
    x = 90,157,468.06/10,194.91
  6. Step 6: Final answer
    x = 8,843.38

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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.