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Finding the Fourth Proportional to 17,038.94, 23,517 and 9,586.94

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Solution

The fourth proportional to 17,038.94, 23,517 and 9,586.94 is: 13,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.94 : 23,517 = 9,586.94 : x
  2. Step 2: Convert to fraction form
    17,038.94/23,517 = 9,586.94/x
  3. Step 3: Cross multiply
    17,038.94x = 23,517 × 9,586.94
  4. Step 4: Simplify right side
    17,038.94x = 225,456,067.98
  5. Step 5: Solve for x
    x = 225,456,067.98/17,038.94
  6. Step 6: Final answer
    x = 13,231.81

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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.