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Finding the Fourth Proportional to 15,609, 23,413.53 and 6,375

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Solution

The fourth proportional to 15,609, 23,413.53 and 6,375 is: 9,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,609 : 23,413.53 = 6,375 : x
  2. Step 2: Convert to fraction form
    15,609/23,413.53 = 6,375/x
  3. Step 3: Cross multiply
    15,609x = 23,413.53 × 6,375
  4. Step 4: Simplify right side
    15,609x = 149,261,253.75
  5. Step 5: Solve for x
    x = 149,261,253.75/15,609
  6. Step 6: Final answer
    x = 9,562.51

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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.