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Finding the Fourth Proportional to 6,691, 10,037.07 and 2,074

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Solution

The fourth proportional to 6,691, 10,037.07 and 2,074 is: 3,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691 : 10,037.07 = 2,074 : x
  2. Step 2: Convert to fraction form
    6,691/10,037.07 = 2,074/x
  3. Step 3: Cross multiply
    6,691x = 10,037.07 × 2,074
  4. Step 4: Simplify right side
    6,691x = 20,816,883.18
  5. Step 5: Solve for x
    x = 20,816,883.18/6,691
  6. Step 6: Final answer
    x = 3,111.18

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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.