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Finding the Fourth Proportional to 8,614, 11,887.50 and 4,888

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Solution

The fourth proportional to 8,614, 11,887.50 and 4,888 is: 6,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614 : 11,887.50 = 4,888 : x
  2. Step 2: Convert to fraction form
    8,614/11,887.50 = 4,888/x
  3. Step 3: Cross multiply
    8,614x = 11,887.50 × 4,888
  4. Step 4: Simplify right side
    8,614x = 58,106,100
  5. Step 5: Solve for x
    x = 58,106,100/8,614
  6. Step 6: Final answer
    x = 6,745.54

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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.