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Finding the Fourth Proportional to 11,169, 15,413.22 and 6,201

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Solution

The fourth proportional to 11,169, 15,413.22 and 6,201 is: 8,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169 : 15,413.22 = 6,201 : x
  2. Step 2: Convert to fraction form
    11,169/15,413.22 = 6,201/x
  3. Step 3: Cross multiply
    11,169x = 15,413.22 × 6,201
  4. Step 4: Simplify right side
    11,169x = 95,577,377.22
  5. Step 5: Solve for x
    x = 95,577,377.22/11,169
  6. Step 6: Final answer
    x = 8,557.38

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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.