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Finding the Fourth Proportional to 6,462, 8,918.64 and 4,887.36

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Solution

The fourth proportional to 6,462, 8,918.64 and 4,887.36 is: 6,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462 : 8,918.64 = 4,887.36 : x
  2. Step 2: Convert to fraction form
    6,462/8,918.64 = 4,887.36/x
  3. Step 3: Cross multiply
    6,462x = 8,918.64 × 4,887.36
  4. Step 4: Simplify right side
    6,462x = 43,588,604.39
  5. Step 5: Solve for x
    x = 43,588,604.39/6,462
  6. Step 6: Final answer
    x = 6,745.37

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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.