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Finding the Fourth Proportional to 6,575.86, 9,863.93 and 2,413.63

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Solution

The fourth proportional to 6,575.86, 9,863.93 and 2,413.63 is: 3,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.86 : 9,863.93 = 2,413.63 : x
  2. Step 2: Convert to fraction form
    6,575.86/9,863.93 = 2,413.63/x
  3. Step 3: Cross multiply
    6,575.86x = 9,863.93 × 2,413.63
  4. Step 4: Simplify right side
    6,575.86x = 23,807,877.37
  5. Step 5: Solve for x
    x = 23,807,877.37/6,575.86
  6. Step 6: Final answer
    x = 3,620.50

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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.