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Finding the Fourth Proportional to 14,413.97, 19,892.97 and 8,041.56

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Solution

The fourth proportional to 14,413.97, 19,892.97 and 8,041.56 is: 11,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.97 : 19,892.97 = 8,041.56 : x
  2. Step 2: Convert to fraction form
    14,413.97/19,892.97 = 8,041.56/x
  3. Step 3: Cross multiply
    14,413.97x = 19,892.97 × 8,041.56
  4. Step 4: Simplify right side
    14,413.97x = 159,970,511.83
  5. Step 5: Solve for x
    x = 159,970,511.83/14,413.97
  6. Step 6: Final answer
    x = 11,098.30

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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.