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Finding the Fourth Proportional to 6,676.98, 10,016.06 and 1,746.60

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Solution

The fourth proportional to 6,676.98, 10,016.06 and 1,746.60 is: 2,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.98 : 10,016.06 = 1,746.60 : x
  2. Step 2: Convert to fraction form
    6,676.98/10,016.06 = 1,746.60/x
  3. Step 3: Cross multiply
    6,676.98x = 10,016.06 × 1,746.60
  4. Step 4: Simplify right side
    6,676.98x = 17,494,050.40
  5. Step 5: Solve for x
    x = 17,494,050.40/6,676.98
  6. Step 6: Final answer
    x = 2,620.05

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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.