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Finding the Fourth Proportional to 6,674, 10,011.14 and 2,057

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Solution

The fourth proportional to 6,674, 10,011.14 and 2,057 is: 3,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674 : 10,011.14 = 2,057 : x
  2. Step 2: Convert to fraction form
    6,674/10,011.14 = 2,057/x
  3. Step 3: Cross multiply
    6,674x = 10,011.14 × 2,057
  4. Step 4: Simplify right side
    6,674x = 20,592,914.98
  5. Step 5: Solve for x
    x = 20,592,914.98/6,674
  6. Step 6: Final answer
    x = 3,085.54

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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.