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Finding the Fourth Proportional to 9,600.39, 14,413.95 and 7,627.23

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Solution

The fourth proportional to 9,600.39, 14,413.95 and 7,627.23 is: 11,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.39 : 14,413.95 = 7,627.23 : x
  2. Step 2: Convert to fraction form
    9,600.39/14,413.95 = 7,627.23/x
  3. Step 3: Cross multiply
    9,600.39x = 14,413.95 × 7,627.23
  4. Step 4: Simplify right side
    9,600.39x = 109,938,511.86
  5. Step 5: Solve for x
    x = 109,938,511.86/9,600.39
  6. Step 6: Final answer
    x = 11,451.46

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1.5x scale

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.