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Finding the Fourth Proportional to 27,888.48, 41,832 and 6,828.48

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Solution

The fourth proportional to 27,888.48, 41,832 and 6,828.48 is: 10,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888.48 : 41,832 = 6,828.48 : x
  2. Step 2: Convert to fraction form
    27,888.48/41,832 = 6,828.48/x
  3. Step 3: Cross multiply
    27,888.48x = 41,832 × 6,828.48
  4. Step 4: Simplify right side
    27,888.48x = 285,648,975.36
  5. Step 5: Solve for x
    x = 285,648,975.36/27,888.48
  6. Step 6: Final answer
    x = 10,242.54

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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.