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Finding the Fourth Proportional to 24,838.56, 37,256.90 and 8,198.10

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Solution

The fourth proportional to 24,838.56, 37,256.90 and 8,198.10 is: 12,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.56 : 37,256.90 = 8,198.10 : x
  2. Step 2: Convert to fraction form
    24,838.56/37,256.90 = 8,198.10/x
  3. Step 3: Cross multiply
    24,838.56x = 37,256.90 × 8,198.10
  4. Step 4: Simplify right side
    24,838.56x = 305,435,750.90
  5. Step 5: Solve for x
    x = 305,435,750.90/24,838.56
  6. Step 6: Final answer
    x = 12,296.84

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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.