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Finding the Fourth Proportional to 4,901, 6,763.38 and 2,693

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Solution

The fourth proportional to 4,901, 6,763.38 and 2,693 is: 3,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901 : 6,763.38 = 2,693 : x
  2. Step 2: Convert to fraction form
    4,901/6,763.38 = 2,693/x
  3. Step 3: Cross multiply
    4,901x = 6,763.38 × 2,693
  4. Step 4: Simplify right side
    4,901x = 18,213,782.34
  5. Step 5: Solve for x
    x = 18,213,782.34/4,901
  6. Step 6: Final answer
    x = 3,716.34

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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.