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Finding the Fourth Proportional to 6,164.36, 9,248 and 2,004.37

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Solution

The fourth proportional to 6,164.36, 9,248 and 2,004.37 is: 3,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.36 : 9,248 = 2,004.37 : x
  2. Step 2: Convert to fraction form
    6,164.36/9,248 = 2,004.37/x
  3. Step 3: Cross multiply
    6,164.36x = 9,248 × 2,004.37
  4. Step 4: Simplify right side
    6,164.36x = 18,536,413.76
  5. Step 5: Solve for x
    x = 18,536,413.76/6,164.36
  6. Step 6: Final answer
    x = 3,007.03

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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.