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Finding the Fourth Proportional to 7,383, 11,078.14 and 6,413.42

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Solution

The fourth proportional to 7,383, 11,078.14 and 6,413.42 is: 9,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 11,078.14 = 6,413.42 : x
  2. Step 2: Convert to fraction form
    7,383/11,078.14 = 6,413.42/x
  3. Step 3: Cross multiply
    7,383x = 11,078.14 × 6,413.42
  4. Step 4: Simplify right side
    7,383x = 71,048,764.64
  5. Step 5: Solve for x
    x = 71,048,764.64/7,383
  6. Step 6: Final answer
    x = 9,623.29

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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.