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Finding the Fourth Proportional to 7,184.54, 9,921.20 and 5,413.07

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Solution

The fourth proportional to 7,184.54, 9,921.20 and 5,413.07 is: 7,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.54 : 9,921.20 = 5,413.07 : x
  2. Step 2: Convert to fraction form
    7,184.54/9,921.20 = 5,413.07/x
  3. Step 3: Cross multiply
    7,184.54x = 9,921.20 × 5,413.07
  4. Step 4: Simplify right side
    7,184.54x = 53,704,073.41
  5. Step 5: Solve for x
    x = 53,704,073.41/7,184.54
  6. Step 6: Final answer
    x = 7,474.95

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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.