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Finding the Fourth Proportional to 24,425.10, 36,636.97 and 7,786.13

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Solution

The fourth proportional to 24,425.10, 36,636.97 and 7,786.13 is: 11,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.10 : 36,636.97 = 7,786.13 : x
  2. Step 2: Convert to fraction form
    24,425.10/36,636.97 = 7,786.13/x
  3. Step 3: Cross multiply
    24,425.10x = 36,636.97 × 7,786.13
  4. Step 4: Simplify right side
    24,425.10x = 285,260,172.30
  5. Step 5: Solve for x
    x = 285,260,172.30/24,425.10
  6. Step 6: Final answer
    x = 11,678.98

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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.