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Finding the Fourth Proportional to 6,036, 8,327.44 and 3,794.08

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Solution

The fourth proportional to 6,036, 8,327.44 and 3,794.08 is: 5,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036 : 8,327.44 = 3,794.08 : x
  2. Step 2: Convert to fraction form
    6,036/8,327.44 = 3,794.08/x
  3. Step 3: Cross multiply
    6,036x = 8,327.44 × 3,794.08
  4. Step 4: Simplify right side
    6,036x = 31,594,973.56
  5. Step 5: Solve for x
    x = 31,594,973.56/6,036
  6. Step 6: Final answer
    x = 5,234.42

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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.