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Finding the Fourth Proportional to 24,413.62, 36,623.91 and 7,548.08

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Solution

The fourth proportional to 24,413.62, 36,623.91 and 7,548.08 is: 11,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.62 : 36,623.91 = 7,548.08 : x
  2. Step 2: Convert to fraction form
    24,413.62/36,623.91 = 7,548.08/x
  3. Step 3: Cross multiply
    24,413.62x = 36,623.91 × 7,548.08
  4. Step 4: Simplify right side
    24,413.62x = 276,439,981.73
  5. Step 5: Solve for x
    x = 276,439,981.73/24,413.62
  6. Step 6: Final answer
    x = 11,323.19

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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.