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Finding the Fourth Proportional to 8,633.25, 11,914.43 and 4,907.25

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Solution

The fourth proportional to 8,633.25, 11,914.43 and 4,907.25 is: 6,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.25 : 11,914.43 = 4,907.25 : x
  2. Step 2: Convert to fraction form
    8,633.25/11,914.43 = 4,907.25/x
  3. Step 3: Cross multiply
    8,633.25x = 11,914.43 × 4,907.25
  4. Step 4: Simplify right side
    8,633.25x = 58,467,062.08
  5. Step 5: Solve for x
    x = 58,467,062.08/8,633.25
  6. Step 6: Final answer
    x = 6,772.31

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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.