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Finding the Fourth Proportional to 27,797.32, 41,698.32 and 9,077.05

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Solution

The fourth proportional to 27,797.32, 41,698.32 and 9,077.05 is: 13,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.32 : 41,698.32 = 9,077.05 : x
  2. Step 2: Convert to fraction form
    27,797.32/41,698.32 = 9,077.05/x
  3. Step 3: Cross multiply
    27,797.32x = 41,698.32 × 9,077.05
  4. Step 4: Simplify right side
    27,797.32x = 378,497,735.56
  5. Step 5: Solve for x
    x = 378,497,735.56/27,797.32
  6. Step 6: Final answer
    x = 13,616.34

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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.