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Finding the Fourth Proportional to 17,411.75, 24,027.97 and 9,454.28

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Solution

The fourth proportional to 17,411.75, 24,027.97 and 9,454.28 is: 13,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.75 : 24,027.97 = 9,454.28 : x
  2. Step 2: Convert to fraction form
    17,411.75/24,027.97 = 9,454.28/x
  3. Step 3: Cross multiply
    17,411.75x = 24,027.97 × 9,454.28
  4. Step 4: Simplify right side
    17,411.75x = 227,167,156.21
  5. Step 5: Solve for x
    x = 227,167,156.21/17,411.75
  6. Step 6: Final answer
    x = 13,046.77

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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.