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Finding the Fourth Proportional to 12,452.43, 17,184 and 6,863.43

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Solution

The fourth proportional to 12,452.43, 17,184 and 6,863.43 is: 9,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.43 : 17,184 = 6,863.43 : x
  2. Step 2: Convert to fraction form
    12,452.43/17,184 = 6,863.43/x
  3. Step 3: Cross multiply
    12,452.43x = 17,184 × 6,863.43
  4. Step 4: Simplify right side
    12,452.43x = 117,941,181.12
  5. Step 5: Solve for x
    x = 117,941,181.12/12,452.43
  6. Step 6: Final answer
    x = 9,471.34

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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.