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Finding the Fourth Proportional to 6,674.01, 10,012.05 and 2,290.41

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Solution

The fourth proportional to 6,674.01, 10,012.05 and 2,290.41 is: 3,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.01 : 10,012.05 = 2,290.41 : x
  2. Step 2: Convert to fraction form
    6,674.01/10,012.05 = 2,290.41/x
  3. Step 3: Cross multiply
    6,674.01x = 10,012.05 × 2,290.41
  4. Step 4: Simplify right side
    6,674.01x = 22,931,699.44
  5. Step 5: Solve for x
    x = 22,931,699.44/6,674.01
  6. Step 6: Final answer
    x = 3,435.97

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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.