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Finding the Fourth Proportional to 9,994, 14,991.74 and 3,838

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Solution

The fourth proportional to 9,994, 14,991.74 and 3,838 is: 5,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994 : 14,991.74 = 3,838 : x
  2. Step 2: Convert to fraction form
    9,994/14,991.74 = 3,838/x
  3. Step 3: Cross multiply
    9,994x = 14,991.74 × 3,838
  4. Step 4: Simplify right side
    9,994x = 57,538,298.12
  5. Step 5: Solve for x
    x = 57,538,298.12/9,994
  6. Step 6: Final answer
    x = 5,757.28

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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.