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Finding the Fourth Proportional to 6,131.50, 9,197.31 and 1,971.58

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Solution

The fourth proportional to 6,131.50, 9,197.31 and 1,971.58 is: 2,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.50 : 9,197.31 = 1,971.58 : x
  2. Step 2: Convert to fraction form
    6,131.50/9,197.31 = 1,971.58/x
  3. Step 3: Cross multiply
    6,131.50x = 9,197.31 × 1,971.58
  4. Step 4: Simplify right side
    6,131.50x = 18,133,232.45
  5. Step 5: Solve for x
    x = 18,133,232.45/6,131.50
  6. Step 6: Final answer
    x = 2,957.39

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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.