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Finding the Fourth Proportional to 6,671, 10,006.64 and 2,054

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Solution

The fourth proportional to 6,671, 10,006.64 and 2,054 is: 3,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671 : 10,006.64 = 2,054 : x
  2. Step 2: Convert to fraction form
    6,671/10,006.64 = 2,054/x
  3. Step 3: Cross multiply
    6,671x = 10,006.64 × 2,054
  4. Step 4: Simplify right side
    6,671x = 20,553,638.56
  5. Step 5: Solve for x
    x = 20,553,638.56/6,671
  6. Step 6: Final answer
    x = 3,081.04

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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.