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Finding the Fourth Proportional to 17,984.70, 26,977 and 4,837.08

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Solution

The fourth proportional to 17,984.70, 26,977 and 4,837.08 is: 7,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.70 : 26,977 = 4,837.08 : x
  2. Step 2: Convert to fraction form
    17,984.70/26,977 = 4,837.08/x
  3. Step 3: Cross multiply
    17,984.70x = 26,977 × 4,837.08
  4. Step 4: Simplify right side
    17,984.70x = 130,489,907.16
  5. Step 5: Solve for x
    x = 130,489,907.16/17,984.70
  6. Step 6: Final answer
    x = 7,255.61

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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.