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Finding the Fourth Proportional to 8,227.53, 11,354.94 and 4,691.25

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Solution

The fourth proportional to 8,227.53, 11,354.94 and 4,691.25 is: 6,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.53 : 11,354.94 = 4,691.25 : x
  2. Step 2: Convert to fraction form
    8,227.53/11,354.94 = 4,691.25/x
  3. Step 3: Cross multiply
    8,227.53x = 11,354.94 × 4,691.25
  4. Step 4: Simplify right side
    8,227.53x = 53,268,862.28
  5. Step 5: Solve for x
    x = 53,268,862.28/8,227.53
  6. Step 6: Final answer
    x = 6,474.47

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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.