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Finding the Fourth Proportional to 27,698.54, 41,546.72 and 9,230.54

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Solution

The fourth proportional to 27,698.54, 41,546.72 and 9,230.54 is: 13,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.54 : 41,546.72 = 9,230.54 : x
  2. Step 2: Convert to fraction form
    27,698.54/41,546.72 = 9,230.54/x
  3. Step 3: Cross multiply
    27,698.54x = 41,546.72 × 9,230.54
  4. Step 4: Simplify right side
    27,698.54x = 383,498,660.83
  5. Step 5: Solve for x
    x = 383,498,660.83/27,698.54
  6. Step 6: Final answer
    x = 13,845.45

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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.