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Finding the Fourth Proportional to 6,990, 10,486.44 and 2,886

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Solution

The fourth proportional to 6,990, 10,486.44 and 2,886 is: 4,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990 : 10,486.44 = 2,886 : x
  2. Step 2: Convert to fraction form
    6,990/10,486.44 = 2,886/x
  3. Step 3: Cross multiply
    6,990x = 10,486.44 × 2,886
  4. Step 4: Simplify right side
    6,990x = 30,263,865.84
  5. Step 5: Solve for x
    x = 30,263,865.84/6,990
  6. Step 6: Final answer
    x = 4,329.59

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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.