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Finding the Fourth Proportional to 6,177.34, 9,257.37 and 4,437.82

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Solution

The fourth proportional to 6,177.34, 9,257.37 and 4,437.82 is: 6,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.34 : 9,257.37 = 4,437.82 : x
  2. Step 2: Convert to fraction form
    6,177.34/9,257.37 = 4,437.82/x
  3. Step 3: Cross multiply
    6,177.34x = 9,257.37 × 4,437.82
  4. Step 4: Simplify right side
    6,177.34x = 41,082,541.73
  5. Step 5: Solve for x
    x = 41,082,541.73/6,177.34
  6. Step 6: Final answer
    x = 6,650.52

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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.