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Finding the Fourth Proportional to 7,546.14, 10,413.93 and 4,561.38

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Solution

The fourth proportional to 7,546.14, 10,413.93 and 4,561.38 is: 6,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.14 : 10,413.93 = 4,561.38 : x
  2. Step 2: Convert to fraction form
    7,546.14/10,413.93 = 4,561.38/x
  3. Step 3: Cross multiply
    7,546.14x = 10,413.93 × 4,561.38
  4. Step 4: Simplify right side
    7,546.14x = 47,501,892.02
  5. Step 5: Solve for x
    x = 47,501,892.02/7,546.14
  6. Step 6: Final answer
    x = 6,294.86

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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.