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Finding the Fourth Proportional to 7,738.56, 11,602.56 and 3,576.24

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Solution

The fourth proportional to 7,738.56, 11,602.56 and 3,576.24 is: 5,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.56 : 11,602.56 = 3,576.24 : x
  2. Step 2: Convert to fraction form
    7,738.56/11,602.56 = 3,576.24/x
  3. Step 3: Cross multiply
    7,738.56x = 11,602.56 × 3,576.24
  4. Step 4: Simplify right side
    7,738.56x = 41,493,539.17
  5. Step 5: Solve for x
    x = 41,493,539.17/7,738.56
  6. Step 6: Final answer
    x = 5,361.92

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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.