Home / 10,194-14,064.21-5,943.84

Finding the Fourth Proportional to 10,194, 14,064.21 and 5,943.84

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Solution

The fourth proportional to 10,194, 14,064.21 and 5,943.84 is: 8,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194 : 14,064.21 = 5,943.84 : x
  2. Step 2: Convert to fraction form
    10,194/14,064.21 = 5,943.84/x
  3. Step 3: Cross multiply
    10,194x = 14,064.21 × 5,943.84
  4. Step 4: Simplify right side
    10,194x = 83,595,413.97
  5. Step 5: Solve for x
    x = 83,595,413.97/10,194
  6. Step 6: Final answer
    x = 8,200.45

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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.