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Finding the Fourth Proportional to 11,065, 15,269.70 and 6,097

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Solution

The fourth proportional to 11,065, 15,269.70 and 6,097 is: 8,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065 : 15,269.70 = 6,097 : x
  2. Step 2: Convert to fraction form
    11,065/15,269.70 = 6,097/x
  3. Step 3: Cross multiply
    11,065x = 15,269.70 × 6,097
  4. Step 4: Simplify right side
    11,065x = 93,099,360.90
  5. Step 5: Solve for x
    x = 93,099,360.90/11,065
  6. Step 6: Final answer
    x = 8,413.86

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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.