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Finding the Fourth Proportional to 6,164.88, 9,238.80 and 3,388.20

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Solution

The fourth proportional to 6,164.88, 9,238.80 and 3,388.20 is: 5,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.88 : 9,238.80 = 3,388.20 : x
  2. Step 2: Convert to fraction form
    6,164.88/9,238.80 = 3,388.20/x
  3. Step 3: Cross multiply
    6,164.88x = 9,238.80 × 3,388.20
  4. Step 4: Simplify right side
    6,164.88x = 31,302,902.16
  5. Step 5: Solve for x
    x = 31,302,902.16/6,164.88
  6. Step 6: Final answer
    x = 5,077.62

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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.