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Finding the Fourth Proportional to 27,923.52, 41,891.46 and 9,209.34

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Solution

The fourth proportional to 27,923.52, 41,891.46 and 9,209.34 is: 13,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923.52 : 41,891.46 = 9,209.34 : x
  2. Step 2: Convert to fraction form
    27,923.52/41,891.46 = 9,209.34/x
  3. Step 3: Cross multiply
    27,923.52x = 41,891.46 × 9,209.34
  4. Step 4: Simplify right side
    27,923.52x = 385,792,698.24
  5. Step 5: Solve for x
    x = 385,792,698.24/27,923.52
  6. Step 6: Final answer
    x = 13,816.05

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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.