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Finding the Fourth Proportional to 7,804.07, 11,734.20 and 7,195.22

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Solution

The fourth proportional to 7,804.07, 11,734.20 and 7,195.22 is: 10,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.07 : 11,734.20 = 7,195.22 : x
  2. Step 2: Convert to fraction form
    7,804.07/11,734.20 = 7,195.22/x
  3. Step 3: Cross multiply
    7,804.07x = 11,734.20 × 7,195.22
  4. Step 4: Simplify right side
    7,804.07x = 84,430,091.85
  5. Step 5: Solve for x
    x = 84,430,091.85/7,804.07
  6. Step 6: Final answer
    x = 10,818.73

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1.5x scale

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.