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Finding the Fourth Proportional to 7,809.54, 11,709.44 and 3,647.76

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Solution

The fourth proportional to 7,809.54, 11,709.44 and 3,647.76 is: 5,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.54 : 11,709.44 = 3,647.76 : x
  2. Step 2: Convert to fraction form
    7,809.54/11,709.44 = 3,647.76/x
  3. Step 3: Cross multiply
    7,809.54x = 11,709.44 × 3,647.76
  4. Step 4: Simplify right side
    7,809.54x = 42,713,226.85
  5. Step 5: Solve for x
    x = 42,713,226.85/7,809.54
  6. Step 6: Final answer
    x = 5,469.37

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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.