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Finding the Fourth Proportional to 24,843.18, 37,256.86 and 8,200.10

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Solution

The fourth proportional to 24,843.18, 37,256.86 and 8,200.10 is: 12,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.18 : 37,256.86 = 8,200.10 : x
  2. Step 2: Convert to fraction form
    24,843.18/37,256.86 = 8,200.10/x
  3. Step 3: Cross multiply
    24,843.18x = 37,256.86 × 8,200.10
  4. Step 4: Simplify right side
    24,843.18x = 305,509,977.69
  5. Step 5: Solve for x
    x = 305,509,977.69/24,843.18
  6. Step 6: Final answer
    x = 12,297.54

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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.