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Finding the Fourth Proportional to 6,246.01, 8,607.64 and 4,474.54

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Solution

The fourth proportional to 6,246.01, 8,607.64 and 4,474.54 is: 6,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.01 : 8,607.64 = 4,474.54 : x
  2. Step 2: Convert to fraction form
    6,246.01/8,607.64 = 4,474.54/x
  3. Step 3: Cross multiply
    6,246.01x = 8,607.64 × 4,474.54
  4. Step 4: Simplify right side
    6,246.01x = 38,515,229.49
  5. Step 5: Solve for x
    x = 38,515,229.49/6,246.01
  6. Step 6: Final answer
    x = 6,166.37

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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.