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Finding the Fourth Proportional to 24,413.59, 36,618.53 and 7,774.15

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Solution

The fourth proportional to 24,413.59, 36,618.53 and 7,774.15 is: 11,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.59 : 36,618.53 = 7,774.15 : x
  2. Step 2: Convert to fraction form
    24,413.59/36,618.53 = 7,774.15/x
  3. Step 3: Cross multiply
    24,413.59x = 36,618.53 × 7,774.15
  4. Step 4: Simplify right side
    24,413.59x = 284,677,906.13
  5. Step 5: Solve for x
    x = 284,677,906.13/24,413.59
  6. Step 6: Final answer
    x = 11,660.63

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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.