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Finding the Fourth Proportional to 6,193.51, 8,558.34 and 4,511.98

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Solution

The fourth proportional to 6,193.51, 8,558.34 and 4,511.98 is: 6,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.51 : 8,558.34 = 4,511.98 : x
  2. Step 2: Convert to fraction form
    6,193.51/8,558.34 = 4,511.98/x
  3. Step 3: Cross multiply
    6,193.51x = 8,558.34 × 4,511.98
  4. Step 4: Simplify right side
    6,193.51x = 38,615,058.91
  5. Step 5: Solve for x
    x = 38,615,058.91/6,193.51
  6. Step 6: Final answer
    x = 6,234.76

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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.