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Finding the Fourth Proportional to 6,676.99, 10,016.07 and 1,746.61

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Solution

The fourth proportional to 6,676.99, 10,016.07 and 1,746.61 is: 2,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.99 : 10,016.07 = 1,746.61 : x
  2. Step 2: Convert to fraction form
    6,676.99/10,016.07 = 1,746.61/x
  3. Step 3: Cross multiply
    6,676.99x = 10,016.07 × 1,746.61
  4. Step 4: Simplify right side
    6,676.99x = 17,494,117.94
  5. Step 5: Solve for x
    x = 17,494,117.94/6,676.99
  6. Step 6: Final answer
    x = 2,620.06

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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.