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Finding the Fourth Proportional to 27,574.50, 41,361.89 and 6,798

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Solution

The fourth proportional to 27,574.50, 41,361.89 and 6,798 is: 10,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.50 : 41,361.89 = 6,798 : x
  2. Step 2: Convert to fraction form
    27,574.50/41,361.89 = 6,798/x
  3. Step 3: Cross multiply
    27,574.50x = 41,361.89 × 6,798
  4. Step 4: Simplify right side
    27,574.50x = 281,178,094.23
  5. Step 5: Solve for x
    x = 281,178,094.23/27,574.50
  6. Step 6: Final answer
    x = 10,197.03

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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.