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Finding the Fourth Proportional to 7,604.86, 11,409.12 and 3,847.36

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Solution

The fourth proportional to 7,604.86, 11,409.12 and 3,847.36 is: 5,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.86 : 11,409.12 = 3,847.36 : x
  2. Step 2: Convert to fraction form
    7,604.86/11,409.12 = 3,847.36/x
  3. Step 3: Cross multiply
    7,604.86x = 11,409.12 × 3,847.36
  4. Step 4: Simplify right side
    7,604.86x = 43,894,991.92
  5. Step 5: Solve for x
    x = 43,894,991.92/7,604.86
  6. Step 6: Final answer
    x = 5,771.97

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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.