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Finding the Fourth Proportional to 6,701.70, 10,046.04 and 3,185.66

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Solution

The fourth proportional to 6,701.70, 10,046.04 and 3,185.66 is: 4,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.70 : 10,046.04 = 3,185.66 : x
  2. Step 2: Convert to fraction form
    6,701.70/10,046.04 = 3,185.66/x
  3. Step 3: Cross multiply
    6,701.70x = 10,046.04 × 3,185.66
  4. Step 4: Simplify right side
    6,701.70x = 32,003,267.79
  5. Step 5: Solve for x
    x = 32,003,267.79/6,701.70
  6. Step 6: Final answer
    x = 4,775.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.