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Finding the Fourth Proportional to 6,135.75, 9,203.42 and 1,976.00

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Solution

The fourth proportional to 6,135.75, 9,203.42 and 1,976.00 is: 2,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.75 : 9,203.42 = 1,976.00 : x
  2. Step 2: Convert to fraction form
    6,135.75/9,203.42 = 1,976.00/x
  3. Step 3: Cross multiply
    6,135.75x = 9,203.42 × 1,976.00
  4. Step 4: Simplify right side
    6,135.75x = 18,185,916.84
  5. Step 5: Solve for x
    x = 18,185,916.84/6,135.75
  6. Step 6: Final answer
    x = 2,963.93

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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.