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Finding the Fourth Proportional to 24,289.92, 36,438.48 and 7,651.44

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Solution

The fourth proportional to 24,289.92, 36,438.48 and 7,651.44 is: 11,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.92 : 36,438.48 = 7,651.44 : x
  2. Step 2: Convert to fraction form
    24,289.92/36,438.48 = 7,651.44/x
  3. Step 3: Cross multiply
    24,289.92x = 36,438.48 × 7,651.44
  4. Step 4: Simplify right side
    24,289.92x = 278,806,843.41
  5. Step 5: Solve for x
    x = 278,806,843.41/24,289.92
  6. Step 6: Final answer
    x = 11,478.29

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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.