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Finding the Fourth Proportional to 12,751.94, 19,100.16 and 6,164.25

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Solution

The fourth proportional to 12,751.94, 19,100.16 and 6,164.25 is: 9,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.94 : 19,100.16 = 6,164.25 : x
  2. Step 2: Convert to fraction form
    12,751.94/19,100.16 = 6,164.25/x
  3. Step 3: Cross multiply
    12,751.94x = 19,100.16 × 6,164.25
  4. Step 4: Simplify right side
    12,751.94x = 117,738,161.28
  5. Step 5: Solve for x
    x = 117,738,161.28/12,751.94
  6. Step 6: Final answer
    x = 9,232.96

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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.