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Finding the Fourth Proportional to 15,706.14, 21,674.50 and 8,632.98

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Solution

The fourth proportional to 15,706.14, 21,674.50 and 8,632.98 is: 11,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.14 : 21,674.50 = 8,632.98 : x
  2. Step 2: Convert to fraction form
    15,706.14/21,674.50 = 8,632.98/x
  3. Step 3: Cross multiply
    15,706.14x = 21,674.50 × 8,632.98
  4. Step 4: Simplify right side
    15,706.14x = 187,115,525.01
  5. Step 5: Solve for x
    x = 187,115,525.01/15,706.14
  6. Step 6: Final answer
    x = 11,913.53

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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.