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Finding the Fourth Proportional to 6,208.34, 8,567.34 and 3,413.84

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Solution

The fourth proportional to 6,208.34, 8,567.34 and 3,413.84 is: 4,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.34 : 8,567.34 = 3,413.84 : x
  2. Step 2: Convert to fraction form
    6,208.34/8,567.34 = 3,413.84/x
  3. Step 3: Cross multiply
    6,208.34x = 8,567.34 × 3,413.84
  4. Step 4: Simplify right side
    6,208.34x = 29,247,527.99
  5. Step 5: Solve for x
    x = 29,247,527.99/6,208.34
  6. Step 6: Final answer
    x = 4,711.01

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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.