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Finding the Fourth Proportional to 8,361.77, 11,537.37 and 4,824.36

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Solution

The fourth proportional to 8,361.77, 11,537.37 and 4,824.36 is: 6,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.77 : 11,537.37 = 4,824.36 : x
  2. Step 2: Convert to fraction form
    8,361.77/11,537.37 = 4,824.36/x
  3. Step 3: Cross multiply
    8,361.77x = 11,537.37 × 4,824.36
  4. Step 4: Simplify right side
    8,361.77x = 55,660,426.33
  5. Step 5: Solve for x
    x = 55,660,426.33/8,361.77
  6. Step 6: Final answer
    x = 6,656.54

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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.