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Finding the Fourth Proportional to 6,406.76, 9,601.94 and 4,942.82

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Solution

The fourth proportional to 6,406.76, 9,601.94 and 4,942.82 is: 7,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.76 : 9,601.94 = 4,942.82 : x
  2. Step 2: Convert to fraction form
    6,406.76/9,601.94 = 4,942.82/x
  3. Step 3: Cross multiply
    6,406.76x = 9,601.94 × 4,942.82
  4. Step 4: Simplify right side
    6,406.76x = 47,460,697.43
  5. Step 5: Solve for x
    x = 47,460,697.43/6,406.76
  6. Step 6: Final answer
    x = 7,407.91

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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.