Home / 13,834-19,090.28-7,546.32

Finding the Fourth Proportional to 13,834, 19,090.28 and 7,546.32

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Solution

The fourth proportional to 13,834, 19,090.28 and 7,546.32 is: 10,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 19,090.28 = 7,546.32 : x
  2. Step 2: Convert to fraction form
    13,834/19,090.28 = 7,546.32/x
  3. Step 3: Cross multiply
    13,834x = 19,090.28 × 7,546.32
  4. Step 4: Simplify right side
    13,834x = 144,061,361.77
  5. Step 5: Solve for x
    x = 144,061,361.77/13,834
  6. Step 6: Final answer
    x = 10,413.57

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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.