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Finding the Fourth Proportional to 18,490.75, 27,736.13 and 6,178.75

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Solution

The fourth proportional to 18,490.75, 27,736.13 and 6,178.75 is: 9,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490.75 : 27,736.13 = 6,178.75 : x
  2. Step 2: Convert to fraction form
    18,490.75/27,736.13 = 6,178.75/x
  3. Step 3: Cross multiply
    18,490.75x = 27,736.13 × 6,178.75
  4. Step 4: Simplify right side
    18,490.75x = 171,374,613.24
  5. Step 5: Solve for x
    x = 171,374,613.24/18,490.75
  6. Step 6: Final answer
    x = 9,268.13

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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.