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Finding the Fourth Proportional to 17,625.75, 26,435.79 and 5,142.84

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Solution

The fourth proportional to 17,625.75, 26,435.79 and 5,142.84 is: 7,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.75 : 26,435.79 = 5,142.84 : x
  2. Step 2: Convert to fraction form
    17,625.75/26,435.79 = 5,142.84/x
  3. Step 3: Cross multiply
    17,625.75x = 26,435.79 × 5,142.84
  4. Step 4: Simplify right side
    17,625.75x = 135,955,038.24
  5. Step 5: Solve for x
    x = 135,955,038.24/17,625.75
  6. Step 6: Final answer
    x = 7,713.43

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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.