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Finding the Fourth Proportional to 8,504, 11,735.64 and 5,146.22

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Solution

The fourth proportional to 8,504, 11,735.64 and 5,146.22 is: 7,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504 : 11,735.64 = 5,146.22 : x
  2. Step 2: Convert to fraction form
    8,504/11,735.64 = 5,146.22/x
  3. Step 3: Cross multiply
    8,504x = 11,735.64 × 5,146.22
  4. Step 4: Simplify right side
    8,504x = 60,394,185.28
  5. Step 5: Solve for x
    x = 60,394,185.28/8,504
  6. Step 6: Final answer
    x = 7,101.86

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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.