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Finding the Fourth Proportional to 6,994, 9,651.72 and 3,850.48

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Solution

The fourth proportional to 6,994, 9,651.72 and 3,850.48 is: 5,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994 : 9,651.72 = 3,850.48 : x
  2. Step 2: Convert to fraction form
    6,994/9,651.72 = 3,850.48/x
  3. Step 3: Cross multiply
    6,994x = 9,651.72 × 3,850.48
  4. Step 4: Simplify right side
    6,994x = 37,163,754.83
  5. Step 5: Solve for x
    x = 37,163,754.83/6,994
  6. Step 6: Final answer
    x = 5,313.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.