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Finding the Fourth Proportional to 6,494.31, 9,754.65 and 5,731.56

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Solution

The fourth proportional to 6,494.31, 9,754.65 and 5,731.56 is: 8,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.31 : 9,754.65 = 5,731.56 : x
  2. Step 2: Convert to fraction form
    6,494.31/9,754.65 = 5,731.56/x
  3. Step 3: Cross multiply
    6,494.31x = 9,754.65 × 5,731.56
  4. Step 4: Simplify right side
    6,494.31x = 55,909,361.75
  5. Step 5: Solve for x
    x = 55,909,361.75/6,494.31
  6. Step 6: Final answer
    x = 8,608.98

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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.