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Finding the Fourth Proportional to 6,413.63, 9,620.98 and 1,796.63

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Solution

The fourth proportional to 6,413.63, 9,620.98 and 1,796.63 is: 2,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.63 : 9,620.98 = 1,796.63 : x
  2. Step 2: Convert to fraction form
    6,413.63/9,620.98 = 1,796.63/x
  3. Step 3: Cross multiply
    6,413.63x = 9,620.98 × 1,796.63
  4. Step 4: Simplify right side
    6,413.63x = 17,285,288.70
  5. Step 5: Solve for x
    x = 17,285,288.70/6,413.63
  6. Step 6: Final answer
    x = 2,695.09

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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.