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Finding the Fourth Proportional to 6,994, 10,493.70 and 3,296.08

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Solution

The fourth proportional to 6,994, 10,493.70 and 3,296.08 is: 4,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994 : 10,493.70 = 3,296.08 : x
  2. Step 2: Convert to fraction form
    6,994/10,493.70 = 3,296.08/x
  3. Step 3: Cross multiply
    6,994x = 10,493.70 × 3,296.08
  4. Step 4: Simplify right side
    6,994x = 34,588,074.70
  5. Step 5: Solve for x
    x = 34,588,074.70/6,994
  6. Step 6: Final answer
    x = 4,945.39

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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.