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Finding the Fourth Proportional to 6,754.31, 10,133.09 and 2,137.31

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Solution

The fourth proportional to 6,754.31, 10,133.09 and 2,137.31 is: 3,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.31 : 10,133.09 = 2,137.31 : x
  2. Step 2: Convert to fraction form
    6,754.31/10,133.09 = 2,137.31/x
  3. Step 3: Cross multiply
    6,754.31x = 10,133.09 × 2,137.31
  4. Step 4: Simplify right side
    6,754.31x = 21,657,585.26
  5. Step 5: Solve for x
    x = 21,657,585.26/6,754.31
  6. Step 6: Final answer
    x = 3,206.48

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1.5x scale

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.