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Finding the Fourth Proportional to 5,413.20, 8,214.24 and 5,413.20

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Solution

The fourth proportional to 5,413.20, 8,214.24 and 5,413.20 is: 8,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.20 : 8,214.24 = 5,413.20 : x
  2. Step 2: Convert to fraction form
    5,413.20/8,214.24 = 5,413.20/x
  3. Step 3: Cross multiply
    5,413.20x = 8,214.24 × 5,413.20
  4. Step 4: Simplify right side
    5,413.20x = 44,465,323.97
  5. Step 5: Solve for x
    x = 44,465,323.97/5,413.20
  6. Step 6: Final answer
    x = 8,214.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.