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Finding the Fourth Proportional to 9,605.46, 13,255.02 and 5,413.44

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Solution

The fourth proportional to 9,605.46, 13,255.02 and 5,413.44 is: 7,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.46 : 13,255.02 = 5,413.44 : x
  2. Step 2: Convert to fraction form
    9,605.46/13,255.02 = 5,413.44/x
  3. Step 3: Cross multiply
    9,605.46x = 13,255.02 × 5,413.44
  4. Step 4: Simplify right side
    9,605.46x = 71,755,255.47
  5. Step 5: Solve for x
    x = 71,755,255.47/9,605.46
  6. Step 6: Final answer
    x = 7,470.26

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1.5x scale

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.