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Finding the Fourth Proportional to 10,837.26, 14,946.06 and 7,059

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Solution

The fourth proportional to 10,837.26, 14,946.06 and 7,059 is: 9,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.26 : 14,946.06 = 7,059 : x
  2. Step 2: Convert to fraction form
    10,837.26/14,946.06 = 7,059/x
  3. Step 3: Cross multiply
    10,837.26x = 14,946.06 × 7,059
  4. Step 4: Simplify right side
    10,837.26x = 105,504,237.54
  5. Step 5: Solve for x
    x = 105,504,237.54/10,837.26
  6. Step 6: Final answer
    x = 9,735.32

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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.