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Finding the Fourth Proportional to 17,631, 24,331.86 and 9,674.46

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Solution

The fourth proportional to 17,631, 24,331.86 and 9,674.46 is: 13,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631 : 24,331.86 = 9,674.46 : x
  2. Step 2: Convert to fraction form
    17,631/24,331.86 = 9,674.46/x
  3. Step 3: Cross multiply
    17,631x = 24,331.86 × 9,674.46
  4. Step 4: Simplify right side
    17,631x = 235,397,606.30
  5. Step 5: Solve for x
    x = 235,397,606.30/17,631
  6. Step 6: Final answer
    x = 13,351.35

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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.