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Finding the Fourth Proportional to 8,504.22, 11,731.73 and 7,323.24

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Solution

The fourth proportional to 8,504.22, 11,731.73 and 7,323.24 is: 10,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.22 : 11,731.73 = 7,323.24 : x
  2. Step 2: Convert to fraction form
    8,504.22/11,731.73 = 7,323.24/x
  3. Step 3: Cross multiply
    8,504.22x = 11,731.73 × 7,323.24
  4. Step 4: Simplify right side
    8,504.22x = 85,914,215.75
  5. Step 5: Solve for x
    x = 85,914,215.75/8,504.22
  6. Step 6: Final answer
    x = 10,102.55

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1.5x scale

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.