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Finding the Fourth Proportional to 15,706.41, 21,674.87 and 8,632.88

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Solution

The fourth proportional to 15,706.41, 21,674.87 and 8,632.88 is: 11,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.41 : 21,674.87 = 8,632.88 : x
  2. Step 2: Convert to fraction form
    15,706.41/21,674.87 = 8,632.88/x
  3. Step 3: Cross multiply
    15,706.41x = 21,674.87 × 8,632.88
  4. Step 4: Simplify right side
    15,706.41x = 187,116,562.40
  5. Step 5: Solve for x
    x = 187,116,562.40/15,706.41
  6. Step 6: Final answer
    x = 11,913.39

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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.