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Finding the Fourth Proportional to 6,683.62, 10,025.22 and 3,176.15

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Solution

The fourth proportional to 6,683.62, 10,025.22 and 3,176.15 is: 4,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.62 : 10,025.22 = 3,176.15 : x
  2. Step 2: Convert to fraction form
    6,683.62/10,025.22 = 3,176.15/x
  3. Step 3: Cross multiply
    6,683.62x = 10,025.22 × 3,176.15
  4. Step 4: Simplify right side
    6,683.62x = 31,841,602.50
  5. Step 5: Solve for x
    x = 31,841,602.50/6,683.62
  6. Step 6: Final answer
    x = 4,764.13

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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.