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Finding the Fourth Proportional to 6,871.37, 9,481.46 and 4,038.53

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Solution

The fourth proportional to 6,871.37, 9,481.46 and 4,038.53 is: 5,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.37 : 9,481.46 = 4,038.53 : x
  2. Step 2: Convert to fraction form
    6,871.37/9,481.46 = 4,038.53/x
  3. Step 3: Cross multiply
    6,871.37x = 9,481.46 × 4,038.53
  4. Step 4: Simplify right side
    6,871.37x = 38,291,093.05
  5. Step 5: Solve for x
    x = 38,291,093.05/6,871.37
  6. Step 6: Final answer
    x = 5,572.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.