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Finding the Fourth Proportional to 7,063.56, 9,745.46 and 4,079

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Solution

The fourth proportional to 7,063.56, 9,745.46 and 4,079 is: 5,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.56 : 9,745.46 = 4,079 : x
  2. Step 2: Convert to fraction form
    7,063.56/9,745.46 = 4,079/x
  3. Step 3: Cross multiply
    7,063.56x = 9,745.46 × 4,079
  4. Step 4: Simplify right side
    7,063.56x = 39,751,731.34
  5. Step 5: Solve for x
    x = 39,751,731.34/7,063.56
  6. Step 6: Final answer
    x = 5,627.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.