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Finding the Fourth Proportional to 6,326, 9,470.31 and 4,671.56

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Solution

The fourth proportional to 6,326, 9,470.31 and 4,671.56 is: 6,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326 : 9,470.31 = 4,671.56 : x
  2. Step 2: Convert to fraction form
    6,326/9,470.31 = 4,671.56/x
  3. Step 3: Cross multiply
    6,326x = 9,470.31 × 4,671.56
  4. Step 4: Simplify right side
    6,326x = 44,241,121.38
  5. Step 5: Solve for x
    x = 44,241,121.38/6,326
  6. Step 6: Final answer
    x = 6,993.54

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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.