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Finding the Fourth Proportional to 24,413.60, 36,608.29 and 7,771.47

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Solution

The fourth proportional to 24,413.60, 36,608.29 and 7,771.47 is: 11,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.60 : 36,608.29 = 7,771.47 : x
  2. Step 2: Convert to fraction form
    24,413.60/36,608.29 = 7,771.47/x
  3. Step 3: Cross multiply
    24,413.60x = 36,608.29 × 7,771.47
  4. Step 4: Simplify right side
    24,413.60x = 284,500,287.63
  5. Step 5: Solve for x
    x = 284,500,287.63/24,413.60
  6. Step 6: Final answer
    x = 11,653.35

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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.