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Finding the Fourth Proportional to 18,537.84, 27,802.92 and 6,843.04

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Solution

The fourth proportional to 18,537.84, 27,802.92 and 6,843.04 is: 10,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.84 : 27,802.92 = 6,843.04 : x
  2. Step 2: Convert to fraction form
    18,537.84/27,802.92 = 6,843.04/x
  3. Step 3: Cross multiply
    18,537.84x = 27,802.92 × 6,843.04
  4. Step 4: Simplify right side
    18,537.84x = 190,256,493.68
  5. Step 5: Solve for x
    x = 190,256,493.68/18,537.84
  6. Step 6: Final answer
    x = 10,263.14

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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.