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Finding the Fourth Proportional to 6,893.50, 9,513.14 and 3,909.27

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Solution

The fourth proportional to 6,893.50, 9,513.14 and 3,909.27 is: 5,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.50 : 9,513.14 = 3,909.27 : x
  2. Step 2: Convert to fraction form
    6,893.50/9,513.14 = 3,909.27/x
  3. Step 3: Cross multiply
    6,893.50x = 9,513.14 × 3,909.27
  4. Step 4: Simplify right side
    6,893.50x = 37,189,413.26
  5. Step 5: Solve for x
    x = 37,189,413.26/6,893.50
  6. Step 6: Final answer
    x = 5,394.85

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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.