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Finding the Fourth Proportional to 5,623.86, 7,704.62 and 5,413.53

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Solution

The fourth proportional to 5,623.86, 7,704.62 and 5,413.53 is: 7,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.86 : 7,704.62 = 5,413.53 : x
  2. Step 2: Convert to fraction form
    5,623.86/7,704.62 = 5,413.53/x
  3. Step 3: Cross multiply
    5,623.86x = 7,704.62 × 5,413.53
  4. Step 4: Simplify right side
    5,623.86x = 41,709,213.63
  5. Step 5: Solve for x
    x = 41,709,213.63/5,623.86
  6. Step 6: Final answer
    x = 7,416.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.