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Finding the Fourth Proportional to 15,706.16, 21,674.24 and 8,632.44

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Solution

The fourth proportional to 15,706.16, 21,674.24 and 8,632.44 is: 11,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.16 : 21,674.24 = 8,632.44 : x
  2. Step 2: Convert to fraction form
    15,706.16/21,674.24 = 8,632.44/x
  3. Step 3: Cross multiply
    15,706.16x = 21,674.24 × 8,632.44
  4. Step 4: Simplify right side
    15,706.16x = 187,101,576.35
  5. Step 5: Solve for x
    x = 187,101,576.35/15,706.16
  6. Step 6: Final answer
    x = 11,912.62

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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.