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Finding the Fourth Proportional to 18,493.48, 27,746.46 and 6,181.48

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Solution

The fourth proportional to 18,493.48, 27,746.46 and 6,181.48 is: 9,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.48 : 27,746.46 = 6,181.48 : x
  2. Step 2: Convert to fraction form
    18,493.48/27,746.46 = 6,181.48/x
  3. Step 3: Cross multiply
    18,493.48x = 27,746.46 × 6,181.48
  4. Step 4: Simplify right side
    18,493.48x = 171,514,187.56
  5. Step 5: Solve for x
    x = 171,514,187.56/18,493.48
  6. Step 6: Final answer
    x = 9,274.31

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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.