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Finding the Fourth Proportional to 6,092.34, 9,138.43 and 3,493.42

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Solution

The fourth proportional to 6,092.34, 9,138.43 and 3,493.42 is: 5,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.34 : 9,138.43 = 3,493.42 : x
  2. Step 2: Convert to fraction form
    6,092.34/9,138.43 = 3,493.42/x
  3. Step 3: Cross multiply
    6,092.34x = 9,138.43 × 3,493.42
  4. Step 4: Simplify right side
    6,092.34x = 31,924,374.13
  5. Step 5: Solve for x
    x = 31,924,374.13/6,092.34
  6. Step 6: Final answer
    x = 5,240.08

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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.