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Finding the Fourth Proportional to 5,634.31, 7,769.07 and 4,609.09

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Solution

The fourth proportional to 5,634.31, 7,769.07 and 4,609.09 is: 6,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.31 : 7,769.07 = 4,609.09 : x
  2. Step 2: Convert to fraction form
    5,634.31/7,769.07 = 4,609.09/x
  3. Step 3: Cross multiply
    5,634.31x = 7,769.07 × 4,609.09
  4. Step 4: Simplify right side
    5,634.31x = 35,808,342.85
  5. Step 5: Solve for x
    x = 35,808,342.85/5,634.31
  6. Step 6: Final answer
    x = 6,355.41

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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.