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Finding the Fourth Proportional to 5,194.53, 7,169.31 and 4,878.23

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Solution

The fourth proportional to 5,194.53, 7,169.31 and 4,878.23 is: 6,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.53 : 7,169.31 = 4,878.23 : x
  2. Step 2: Convert to fraction form
    5,194.53/7,169.31 = 4,878.23/x
  3. Step 3: Cross multiply
    5,194.53x = 7,169.31 × 4,878.23
  4. Step 4: Simplify right side
    5,194.53x = 34,973,507.27
  5. Step 5: Solve for x
    x = 34,973,507.27/5,194.53
  6. Step 6: Final answer
    x = 6,732.76

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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.