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Finding the Fourth Proportional to 7,027, 10,543.94 and 4,393.82

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Solution

The fourth proportional to 7,027, 10,543.94 and 4,393.82 is: 6,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027 : 10,543.94 = 4,393.82 : x
  2. Step 2: Convert to fraction form
    7,027/10,543.94 = 4,393.82/x
  3. Step 3: Cross multiply
    7,027x = 10,543.94 × 4,393.82
  4. Step 4: Simplify right side
    7,027x = 46,328,174.45
  5. Step 5: Solve for x
    x = 46,328,174.45/7,027
  6. Step 6: Final answer
    x = 6,592.88

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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.