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Finding the Fourth Proportional to 27,888.30, 41,832.18 and 6,828.44

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Solution

The fourth proportional to 27,888.30, 41,832.18 and 6,828.44 is: 10,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888.30 : 41,832.18 = 6,828.44 : x
  2. Step 2: Convert to fraction form
    27,888.30/41,832.18 = 6,828.44/x
  3. Step 3: Cross multiply
    27,888.30x = 41,832.18 × 6,828.44
  4. Step 4: Simplify right side
    27,888.30x = 285,648,531.20
  5. Step 5: Solve for x
    x = 285,648,531.20/27,888.30
  6. Step 6: Final answer
    x = 10,242.59

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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.