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Finding the Fourth Proportional to 4,169.53, 6,256.05 and 1,828.33

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Solution

The fourth proportional to 4,169.53, 6,256.05 and 1,828.33 is: 2,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.53 : 6,256.05 = 1,828.33 : x
  2. Step 2: Convert to fraction form
    4,169.53/6,256.05 = 1,828.33/x
  3. Step 3: Cross multiply
    4,169.53x = 6,256.05 × 1,828.33
  4. Step 4: Simplify right side
    4,169.53x = 11,438,083.47
  5. Step 5: Solve for x
    x = 11,438,083.47/4,169.53
  6. Step 6: Final answer
    x = 2,743.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.