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Finding the Fourth Proportional to 13,071, 19,611.46 and 6,054.38

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Solution

The fourth proportional to 13,071, 19,611.46 and 6,054.38 is: 9,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071 : 19,611.46 = 6,054.38 : x
  2. Step 2: Convert to fraction form
    13,071/19,611.46 = 6,054.38/x
  3. Step 3: Cross multiply
    13,071x = 19,611.46 × 6,054.38
  4. Step 4: Simplify right side
    13,071x = 118,735,133.14
  5. Step 5: Solve for x
    x = 118,735,133.14/13,071
  6. Step 6: Final answer
    x = 9,083.86

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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.