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Finding the Fourth Proportional to 6,551.27, 9,046.76 and 4,162.01

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Solution

The fourth proportional to 6,551.27, 9,046.76 and 4,162.01 is: 5,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.27 : 9,046.76 = 4,162.01 : x
  2. Step 2: Convert to fraction form
    6,551.27/9,046.76 = 4,162.01/x
  3. Step 3: Cross multiply
    6,551.27x = 9,046.76 × 4,162.01
  4. Step 4: Simplify right side
    6,551.27x = 37,652,705.59
  5. Step 5: Solve for x
    x = 37,652,705.59/6,551.27
  6. Step 6: Final answer
    x = 5,747.39

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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.