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Finding the Fourth Proportional to 18,533.84, 27,796.91 and 6,839.06

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Solution

The fourth proportional to 18,533.84, 27,796.91 and 6,839.06 is: 10,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.84 : 27,796.91 = 6,839.06 : x
  2. Step 2: Convert to fraction form
    18,533.84/27,796.91 = 6,839.06/x
  3. Step 3: Cross multiply
    18,533.84x = 27,796.91 × 6,839.06
  4. Step 4: Simplify right side
    18,533.84x = 190,104,562.12
  5. Step 5: Solve for x
    x = 190,104,562.12/18,533.84
  6. Step 6: Final answer
    x = 10,257.16

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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.