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Finding the Fourth Proportional to 13,413.94, 20,121 and 4,646.80

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Solution

The fourth proportional to 13,413.94, 20,121 and 4,646.80 is: 6,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.94 : 20,121 = 4,646.80 : x
  2. Step 2: Convert to fraction form
    13,413.94/20,121 = 4,646.80/x
  3. Step 3: Cross multiply
    13,413.94x = 20,121 × 4,646.80
  4. Step 4: Simplify right side
    13,413.94x = 93,498,262.80
  5. Step 5: Solve for x
    x = 93,498,262.80/13,413.94
  6. Step 6: Final answer
    x = 6,970.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.