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Finding the Fourth Proportional to 14,793.13, 20,413.92 and 8,078.50

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Solution

The fourth proportional to 14,793.13, 20,413.92 and 8,078.50 is: 11,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.13 : 20,413.92 = 8,078.50 : x
  2. Step 2: Convert to fraction form
    14,793.13/20,413.92 = 8,078.50/x
  3. Step 3: Cross multiply
    14,793.13x = 20,413.92 × 8,078.50
  4. Step 4: Simplify right side
    14,793.13x = 164,913,852.72
  5. Step 5: Solve for x
    x = 164,913,852.72/14,793.13
  6. Step 6: Final answer
    x = 11,148.00

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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.