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Finding the Fourth Proportional to 24,524.96, 36,786.74 and 7,884.86

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Solution

The fourth proportional to 24,524.96, 36,786.74 and 7,884.86 is: 11,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524.96 : 36,786.74 = 7,884.86 : x
  2. Step 2: Convert to fraction form
    24,524.96/36,786.74 = 7,884.86/x
  3. Step 3: Cross multiply
    24,524.96x = 36,786.74 × 7,884.86
  4. Step 4: Simplify right side
    24,524.96x = 290,058,294.76
  5. Step 5: Solve for x
    x = 290,058,294.76/24,524.96
  6. Step 6: Final answer
    x = 11,827.06

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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.