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Finding the Fourth Proportional to 18,592.83, 27,891.72 and 9,828.09

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Solution

The fourth proportional to 18,592.83, 27,891.72 and 9,828.09 is: 14,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592.83 : 27,891.72 = 9,828.09 : x
  2. Step 2: Convert to fraction form
    18,592.83/27,891.72 = 9,828.09/x
  3. Step 3: Cross multiply
    18,592.83x = 27,891.72 × 9,828.09
  4. Step 4: Simplify right side
    18,592.83x = 274,122,334.41
  5. Step 5: Solve for x
    x = 274,122,334.41/18,592.83
  6. Step 6: Final answer
    x = 14,743.44

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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.