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Finding the Fourth Proportional to 24,647.94, 36,975.60 and 8,002.44

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Solution

The fourth proportional to 24,647.94, 36,975.60 and 8,002.44 is: 12,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.94 : 36,975.60 = 8,002.44 : x
  2. Step 2: Convert to fraction form
    24,647.94/36,975.60 = 8,002.44/x
  3. Step 3: Cross multiply
    24,647.94x = 36,975.60 × 8,002.44
  4. Step 4: Simplify right side
    24,647.94x = 295,895,020.46
  5. Step 5: Solve for x
    x = 295,895,020.46/24,647.94
  6. Step 6: Final answer
    x = 12,004.86

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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.