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Finding the Fourth Proportional to 6,149.57, 8,486.93 and 5,027.37

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Solution

The fourth proportional to 6,149.57, 8,486.93 and 5,027.37 is: 6,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.57 : 8,486.93 = 5,027.37 : x
  2. Step 2: Convert to fraction form
    6,149.57/8,486.93 = 5,027.37/x
  3. Step 3: Cross multiply
    6,149.57x = 8,486.93 × 5,027.37
  4. Step 4: Simplify right side
    6,149.57x = 42,666,889.74
  5. Step 5: Solve for x
    x = 42,666,889.74/6,149.57
  6. Step 6: Final answer
    x = 6,938.19

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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.