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Finding the Fourth Proportional to 6,994.03, 10,498.34 and 3,101.17

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Solution

The fourth proportional to 6,994.03, 10,498.34 and 3,101.17 is: 4,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.03 : 10,498.34 = 3,101.17 : x
  2. Step 2: Convert to fraction form
    6,994.03/10,498.34 = 3,101.17/x
  3. Step 3: Cross multiply
    6,994.03x = 10,498.34 × 3,101.17
  4. Step 4: Simplify right side
    6,994.03x = 32,557,137.06
  5. Step 5: Solve for x
    x = 32,557,137.06/6,994.03
  6. Step 6: Final answer
    x = 4,654.99

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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.