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Finding the Fourth Proportional to 11,608.68, 17,413 and 3,288.88

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Solution

The fourth proportional to 11,608.68, 17,413 and 3,288.88 is: 4,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.68 : 17,413 = 3,288.88 : x
  2. Step 2: Convert to fraction form
    11,608.68/17,413 = 3,288.88/x
  3. Step 3: Cross multiply
    11,608.68x = 17,413 × 3,288.88
  4. Step 4: Simplify right side
    11,608.68x = 57,269,267.44
  5. Step 5: Solve for x
    x = 57,269,267.44/11,608.68
  6. Step 6: Final answer
    x = 4,933.31

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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.