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Finding the Fourth Proportional to 14,793.07, 20,413.68 and 8,077.41

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Solution

The fourth proportional to 14,793.07, 20,413.68 and 8,077.41 is: 11,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.07 : 20,413.68 = 8,077.41 : x
  2. Step 2: Convert to fraction form
    14,793.07/20,413.68 = 8,077.41/x
  3. Step 3: Cross multiply
    14,793.07x = 20,413.68 × 8,077.41
  4. Step 4: Simplify right side
    14,793.07x = 164,889,662.97
  5. Step 5: Solve for x
    x = 164,889,662.97/14,793.07
  6. Step 6: Final answer
    x = 11,146.41

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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.