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Finding the Fourth Proportional to 8,374.56, 12,561.84 and 3,180.42

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Solution

The fourth proportional to 8,374.56, 12,561.84 and 3,180.42 is: 4,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.56 : 12,561.84 = 3,180.42 : x
  2. Step 2: Convert to fraction form
    8,374.56/12,561.84 = 3,180.42/x
  3. Step 3: Cross multiply
    8,374.56x = 12,561.84 × 3,180.42
  4. Step 4: Simplify right side
    8,374.56x = 39,951,927.17
  5. Step 5: Solve for x
    x = 39,951,927.17/8,374.56
  6. Step 6: Final answer
    x = 4,770.63

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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.