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Finding the Fourth Proportional to 6,367.91, 9,533.04 and 4,731.71

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Solution

The fourth proportional to 6,367.91, 9,533.04 and 4,731.71 is: 7,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.91 : 9,533.04 = 4,731.71 : x
  2. Step 2: Convert to fraction form
    6,367.91/9,533.04 = 4,731.71/x
  3. Step 3: Cross multiply
    6,367.91x = 9,533.04 × 4,731.71
  4. Step 4: Simplify right side
    6,367.91x = 45,107,586.79
  5. Step 5: Solve for x
    x = 45,107,586.79/6,367.91
  6. Step 6: Final answer
    x = 7,083.58

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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.