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Finding the Fourth Proportional to 6,194, 8,547.75 and 3,399.50

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Solution

The fourth proportional to 6,194, 8,547.75 and 3,399.50 is: 4,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 8,547.75 = 3,399.50 : x
  2. Step 2: Convert to fraction form
    6,194/8,547.75 = 3,399.50/x
  3. Step 3: Cross multiply
    6,194x = 8,547.75 × 3,399.50
  4. Step 4: Simplify right side
    6,194x = 29,058,076.13
  5. Step 5: Solve for x
    x = 29,058,076.13/6,194
  6. Step 6: Final answer
    x = 4,691.33

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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.