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Finding the Fourth Proportional to 6,272.50, 9,413.08 and 2,168.50

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Solution

The fourth proportional to 6,272.50, 9,413.08 and 2,168.50 is: 3,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.50 : 9,413.08 = 2,168.50 : x
  2. Step 2: Convert to fraction form
    6,272.50/9,413.08 = 2,168.50/x
  3. Step 3: Cross multiply
    6,272.50x = 9,413.08 × 2,168.50
  4. Step 4: Simplify right side
    6,272.50x = 20,412,263.98
  5. Step 5: Solve for x
    x = 20,412,263.98/6,272.50
  6. Step 6: Final answer
    x = 3,254.25

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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.