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Finding the Fourth Proportional to 24,501.78, 36,747.27 and 7,858.62

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Solution

The fourth proportional to 24,501.78, 36,747.27 and 7,858.62 is: 11,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.78 : 36,747.27 = 7,858.62 : x
  2. Step 2: Convert to fraction form
    24,501.78/36,747.27 = 7,858.62/x
  3. Step 3: Cross multiply
    24,501.78x = 36,747.27 × 7,858.62
  4. Step 4: Simplify right side
    24,501.78x = 288,782,830.97
  5. Step 5: Solve for x
    x = 288,782,830.97/24,501.78
  6. Step 6: Final answer
    x = 11,786.20

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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.