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Finding the Fourth Proportional to 6,680.14, 10,019.84 and 2,297.50

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Solution

The fourth proportional to 6,680.14, 10,019.84 and 2,297.50 is: 3,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.14 : 10,019.84 = 2,297.50 : x
  2. Step 2: Convert to fraction form
    6,680.14/10,019.84 = 2,297.50/x
  3. Step 3: Cross multiply
    6,680.14x = 10,019.84 × 2,297.50
  4. Step 4: Simplify right side
    6,680.14x = 23,020,582.40
  5. Step 5: Solve for x
    x = 23,020,582.40/6,680.14
  6. Step 6: Final answer
    x = 3,446.12

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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.