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Finding the Fourth Proportional to 24,766.26, 37,148.09 and 8,124.10

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Solution

The fourth proportional to 24,766.26, 37,148.09 and 8,124.10 is: 12,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766.26 : 37,148.09 = 8,124.10 : x
  2. Step 2: Convert to fraction form
    24,766.26/37,148.09 = 8,124.10/x
  3. Step 3: Cross multiply
    24,766.26x = 37,148.09 × 8,124.10
  4. Step 4: Simplify right side
    24,766.26x = 301,794,797.97
  5. Step 5: Solve for x
    x = 301,794,797.97/24,766.26
  6. Step 6: Final answer
    x = 12,185.72

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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.