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Finding the Fourth Proportional to 6,059, 9,089 and 1,676.46

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Solution

The fourth proportional to 6,059, 9,089 and 1,676.46 is: 2,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059 : 9,089 = 1,676.46 : x
  2. Step 2: Convert to fraction form
    6,059/9,089 = 1,676.46/x
  3. Step 3: Cross multiply
    6,059x = 9,089 × 1,676.46
  4. Step 4: Simplify right side
    6,059x = 15,237,344.94
  5. Step 5: Solve for x
    x = 15,237,344.94/6,059
  6. Step 6: Final answer
    x = 2,514.83

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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.