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Finding the Fourth Proportional to 6,413.20, 9,619.80 and 5,894.80

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Solution

The fourth proportional to 6,413.20, 9,619.80 and 5,894.80 is: 8,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.20 : 9,619.80 = 5,894.80 : x
  2. Step 2: Convert to fraction form
    6,413.20/9,619.80 = 5,894.80/x
  3. Step 3: Cross multiply
    6,413.20x = 9,619.80 × 5,894.80
  4. Step 4: Simplify right side
    6,413.20x = 56,706,797.04
  5. Step 5: Solve for x
    x = 56,706,797.04/6,413.20
  6. Step 6: Final answer
    x = 8,842.20

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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.