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Finding the Fourth Proportional to 8,067.84, 11,133.70 and 4,664.60

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Solution

The fourth proportional to 8,067.84, 11,133.70 and 4,664.60 is: 6,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.84 : 11,133.70 = 4,664.60 : x
  2. Step 2: Convert to fraction form
    8,067.84/11,133.70 = 4,664.60/x
  3. Step 3: Cross multiply
    8,067.84x = 11,133.70 × 4,664.60
  4. Step 4: Simplify right side
    8,067.84x = 51,934,201.35
  5. Step 5: Solve for x
    x = 51,934,201.35/8,067.84
  6. Step 6: Final answer
    x = 6,437.19

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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.