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Finding the Fourth Proportional to 8,384.97, 11,571.31 and 4,608.09

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Solution

The fourth proportional to 8,384.97, 11,571.31 and 4,608.09 is: 6,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.97 : 11,571.31 = 4,608.09 : x
  2. Step 2: Convert to fraction form
    8,384.97/11,571.31 = 4,608.09/x
  3. Step 3: Cross multiply
    8,384.97x = 11,571.31 × 4,608.09
  4. Step 4: Simplify right side
    8,384.97x = 53,321,617.74
  5. Step 5: Solve for x
    x = 53,321,617.74/8,384.97
  6. Step 6: Final answer
    x = 6,359.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.