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Finding the Fourth Proportional to 12,393, 17,102.75 and 6,804

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Solution

The fourth proportional to 12,393, 17,102.75 and 6,804 is: 9,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393 : 17,102.75 = 6,804 : x
  2. Step 2: Convert to fraction form
    12,393/17,102.75 = 6,804/x
  3. Step 3: Cross multiply
    12,393x = 17,102.75 × 6,804
  4. Step 4: Simplify right side
    12,393x = 116,367,076.98
  5. Step 5: Solve for x
    x = 116,367,076.98/12,393
  6. Step 6: Final answer
    x = 9,389.74

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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.