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Finding the Fourth Proportional to 24,805.10, 37,213.22 and 8,164.46

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Solution

The fourth proportional to 24,805.10, 37,213.22 and 8,164.46 is: 12,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.10 : 37,213.22 = 8,164.46 : x
  2. Step 2: Convert to fraction form
    24,805.10/37,213.22 = 8,164.46/x
  3. Step 3: Cross multiply
    24,805.10x = 37,213.22 × 8,164.46
  4. Step 4: Simplify right side
    24,805.10x = 303,825,959.61
  5. Step 5: Solve for x
    x = 303,825,959.61/24,805.10
  6. Step 6: Final answer
    x = 12,248.53

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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.