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Finding the Fourth Proportional to 18,492, 27,738.24 and 6,180

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Solution

The fourth proportional to 18,492, 27,738.24 and 6,180 is: 9,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492 : 27,738.24 = 6,180 : x
  2. Step 2: Convert to fraction form
    18,492/27,738.24 = 6,180/x
  3. Step 3: Cross multiply
    18,492x = 27,738.24 × 6,180
  4. Step 4: Simplify right side
    18,492x = 171,422,323.20
  5. Step 5: Solve for x
    x = 171,422,323.20/18,492
  6. Step 6: Final answer
    x = 9,270.08

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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.