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Finding the Fourth Proportional to 6,683.14, 10,025.67 and 2,066.50

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Solution

The fourth proportional to 6,683.14, 10,025.67 and 2,066.50 is: 3,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.14 : 10,025.67 = 2,066.50 : x
  2. Step 2: Convert to fraction form
    6,683.14/10,025.67 = 2,066.50/x
  3. Step 3: Cross multiply
    6,683.14x = 10,025.67 × 2,066.50
  4. Step 4: Simplify right side
    6,683.14x = 20,718,047.06
  5. Step 5: Solve for x
    x = 20,718,047.06/6,683.14
  6. Step 6: Final answer
    x = 3,100.05

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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.