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Finding the Fourth Proportional to 8,954.67, 12,350.74 and 5,413.35

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Solution

The fourth proportional to 8,954.67, 12,350.74 and 5,413.35 is: 7,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.67 : 12,350.74 = 5,413.35 : x
  2. Step 2: Convert to fraction form
    8,954.67/12,350.74 = 5,413.35/x
  3. Step 3: Cross multiply
    8,954.67x = 12,350.74 × 5,413.35
  4. Step 4: Simplify right side
    8,954.67x = 66,858,878.38
  5. Step 5: Solve for x
    x = 66,858,878.38/8,954.67
  6. Step 6: Final answer
    x = 7,466.37

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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.