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Finding the Fourth Proportional to 9,896.77, 14,845.16 and 4,051

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Solution

The fourth proportional to 9,896.77, 14,845.16 and 4,051 is: 6,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.77 : 14,845.16 = 4,051 : x
  2. Step 2: Convert to fraction form
    9,896.77/14,845.16 = 4,051/x
  3. Step 3: Cross multiply
    9,896.77x = 14,845.16 × 4,051
  4. Step 4: Simplify right side
    9,896.77x = 60,137,743.16
  5. Step 5: Solve for x
    x = 60,137,743.16/9,896.77
  6. Step 6: Final answer
    x = 6,076.50

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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.