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Finding the Fourth Proportional to 12,706.16, 17,523.07 and 8,225.24

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Solution

The fourth proportional to 12,706.16, 17,523.07 and 8,225.24 is: 11,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.16 : 17,523.07 = 8,225.24 : x
  2. Step 2: Convert to fraction form
    12,706.16/17,523.07 = 8,225.24/x
  3. Step 3: Cross multiply
    12,706.16x = 17,523.07 × 8,225.24
  4. Step 4: Simplify right side
    12,706.16x = 144,131,456.29
  5. Step 5: Solve for x
    x = 144,131,456.29/12,706.16
  6. Step 6: Final answer
    x = 11,343.43

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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.