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Finding the Fourth Proportional to 6,100, 8,418 and 5,152

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Solution

The fourth proportional to 6,100, 8,418 and 5,152 is: 7,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100 : 8,418 = 5,152 : x
  2. Step 2: Convert to fraction form
    6,100/8,418 = 5,152/x
  3. Step 3: Cross multiply
    6,100x = 8,418 × 5,152
  4. Step 4: Simplify right side
    6,100x = 43,369,536
  5. Step 5: Solve for x
    x = 43,369,536/6,100
  6. Step 6: Final answer
    x = 7,109.76

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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.