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Finding the Fourth Proportional to 8,114.53, 11,194.53 and 4,757.50

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Solution

The fourth proportional to 8,114.53, 11,194.53 and 4,757.50 is: 6,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.53 : 11,194.53 = 4,757.50 : x
  2. Step 2: Convert to fraction form
    8,114.53/11,194.53 = 4,757.50/x
  3. Step 3: Cross multiply
    8,114.53x = 11,194.53 × 4,757.50
  4. Step 4: Simplify right side
    8,114.53x = 53,257,976.48
  5. Step 5: Solve for x
    x = 53,257,976.48/8,114.53
  6. Step 6: Final answer
    x = 6,563.29

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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.