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Finding the Fourth Proportional to 6,683.76, 10,028 and 4,471.44

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Solution

The fourth proportional to 6,683.76, 10,028 and 4,471.44 is: 6,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.76 : 10,028 = 4,471.44 : x
  2. Step 2: Convert to fraction form
    6,683.76/10,028 = 4,471.44/x
  3. Step 3: Cross multiply
    6,683.76x = 10,028 × 4,471.44
  4. Step 4: Simplify right side
    6,683.76x = 44,839,600.32
  5. Step 5: Solve for x
    x = 44,839,600.32/6,683.76
  6. Step 6: Final answer
    x = 6,708.74

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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.