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Finding the Fourth Proportional to 6,994.59, 10,493.42 and 3,046.48

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Solution

The fourth proportional to 6,994.59, 10,493.42 and 3,046.48 is: 4,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.59 : 10,493.42 = 3,046.48 : x
  2. Step 2: Convert to fraction form
    6,994.59/10,493.42 = 3,046.48/x
  3. Step 3: Cross multiply
    6,994.59x = 10,493.42 × 3,046.48
  4. Step 4: Simplify right side
    6,994.59x = 31,967,994.16
  5. Step 5: Solve for x
    x = 31,967,994.16/6,994.59
  6. Step 6: Final answer
    x = 4,570.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.