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Finding the Fourth Proportional to 6,941.03, 10,409.92 and 2,009.35

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Solution

The fourth proportional to 6,941.03, 10,409.92 and 2,009.35 is: 3,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.03 : 10,409.92 = 2,009.35 : x
  2. Step 2: Convert to fraction form
    6,941.03/10,409.92 = 2,009.35/x
  3. Step 3: Cross multiply
    6,941.03x = 10,409.92 × 2,009.35
  4. Step 4: Simplify right side
    6,941.03x = 20,917,172.75
  5. Step 5: Solve for x
    x = 20,917,172.75/6,941.03
  6. Step 6: Final answer
    x = 3,013.55

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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.