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Finding the Fourth Proportional to 6,512.01, 9,768.08 and 2,615.50

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Solution

The fourth proportional to 6,512.01, 9,768.08 and 2,615.50 is: 3,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.01 : 9,768.08 = 2,615.50 : x
  2. Step 2: Convert to fraction form
    6,512.01/9,768.08 = 2,615.50/x
  3. Step 3: Cross multiply
    6,512.01x = 9,768.08 × 2,615.50
  4. Step 4: Simplify right side
    6,512.01x = 25,548,413.24
  5. Step 5: Solve for x
    x = 25,548,413.24/6,512.01
  6. Step 6: Final answer
    x = 3,923.28

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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.