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Finding the Fourth Proportional to 8,452.94, 11,664.54 and 5,096.84

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Solution

The fourth proportional to 8,452.94, 11,664.54 and 5,096.84 is: 7,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.94 : 11,664.54 = 5,096.84 : x
  2. Step 2: Convert to fraction form
    8,452.94/11,664.54 = 5,096.84/x
  3. Step 3: Cross multiply
    8,452.94x = 11,664.54 × 5,096.84
  4. Step 4: Simplify right side
    8,452.94x = 59,452,235.73
  5. Step 5: Solve for x
    x = 59,452,235.73/8,452.94
  6. Step 6: Final answer
    x = 7,033.32

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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.