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Finding the Fourth Proportional to 6,438.84, 8,884.26 and 3,784.83

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Solution

The fourth proportional to 6,438.84, 8,884.26 and 3,784.83 is: 5,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.84 : 8,884.26 = 3,784.83 : x
  2. Step 2: Convert to fraction form
    6,438.84/8,884.26 = 3,784.83/x
  3. Step 3: Cross multiply
    6,438.84x = 8,884.26 × 3,784.83
  4. Step 4: Simplify right side
    6,438.84x = 33,625,413.78
  5. Step 5: Solve for x
    x = 33,625,413.78/6,438.84
  6. Step 6: Final answer
    x = 5,222.28

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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.