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Finding the Fourth Proportional to 6,046.63, 9,072.52 and 3,126.98

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Solution

The fourth proportional to 6,046.63, 9,072.52 and 3,126.98 is: 4,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.63 : 9,072.52 = 3,126.98 : x
  2. Step 2: Convert to fraction form
    6,046.63/9,072.52 = 3,126.98/x
  3. Step 3: Cross multiply
    6,046.63x = 9,072.52 × 3,126.98
  4. Step 4: Simplify right side
    6,046.63x = 28,369,603.45
  5. Step 5: Solve for x
    x = 28,369,603.45/6,046.63
  6. Step 6: Final answer
    x = 4,691.81

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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.