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Finding the Fourth Proportional to 6,393.65, 9,572.70 and 3,266.90

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Solution

The fourth proportional to 6,393.65, 9,572.70 and 3,266.90 is: 4,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.65 : 9,572.70 = 3,266.90 : x
  2. Step 2: Convert to fraction form
    6,393.65/9,572.70 = 3,266.90/x
  3. Step 3: Cross multiply
    6,393.65x = 9,572.70 × 3,266.90
  4. Step 4: Simplify right side
    6,393.65x = 31,273,053.63
  5. Step 5: Solve for x
    x = 31,273,053.63/6,393.65
  6. Step 6: Final answer
    x = 4,891.27

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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.