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Finding the Fourth Proportional to 24,522.86, 36,786.46 and 7,884.38

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Solution

The fourth proportional to 24,522.86, 36,786.46 and 7,884.38 is: 11,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522.86 : 36,786.46 = 7,884.38 : x
  2. Step 2: Convert to fraction form
    24,522.86/36,786.46 = 7,884.38/x
  3. Step 3: Cross multiply
    24,522.86x = 36,786.46 × 7,884.38
  4. Step 4: Simplify right side
    24,522.86x = 290,038,429.49
  5. Step 5: Solve for x
    x = 290,038,429.49/24,522.86
  6. Step 6: Final answer
    x = 11,827.27

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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.