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Finding the Fourth Proportional to 8,377.73, 11,566.70 and 5,194.42

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Solution

The fourth proportional to 8,377.73, 11,566.70 and 5,194.42 is: 7,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.73 : 11,566.70 = 5,194.42 : x
  2. Step 2: Convert to fraction form
    8,377.73/11,566.70 = 5,194.42/x
  3. Step 3: Cross multiply
    8,377.73x = 11,566.70 × 5,194.42
  4. Step 4: Simplify right side
    8,377.73x = 60,082,327.47
  5. Step 5: Solve for x
    x = 60,082,327.47/8,377.73
  6. Step 6: Final answer
    x = 7,171.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.