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Finding the Fourth Proportional to 6,261, 9,394.74 and 3,183

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Solution

The fourth proportional to 6,261, 9,394.74 and 3,183 is: 4,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261 : 9,394.74 = 3,183 : x
  2. Step 2: Convert to fraction form
    6,261/9,394.74 = 3,183/x
  3. Step 3: Cross multiply
    6,261x = 9,394.74 × 3,183
  4. Step 4: Simplify right side
    6,261x = 29,903,457.42
  5. Step 5: Solve for x
    x = 29,903,457.42/6,261
  6. Step 6: Final answer
    x = 4,776.15

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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.