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Finding the Fourth Proportional to 8,414.74, 12,616.59 and 4,034.68

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Solution

The fourth proportional to 8,414.74, 12,616.59 and 4,034.68 is: 6,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.74 : 12,616.59 = 4,034.68 : x
  2. Step 2: Convert to fraction form
    8,414.74/12,616.59 = 4,034.68/x
  3. Step 3: Cross multiply
    8,414.74x = 12,616.59 × 4,034.68
  4. Step 4: Simplify right side
    8,414.74x = 50,903,903.34
  5. Step 5: Solve for x
    x = 50,903,903.34/8,414.74
  6. Step 6: Final answer
    x = 6,049.37

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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.