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Finding the Fourth Proportional to 10,684.68, 14,704.41 and 8,754.66

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Solution

The fourth proportional to 10,684.68, 14,704.41 and 8,754.66 is: 12,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.68 : 14,704.41 = 8,754.66 : x
  2. Step 2: Convert to fraction form
    10,684.68/14,704.41 = 8,754.66/x
  3. Step 3: Cross multiply
    10,684.68x = 14,704.41 × 8,754.66
  4. Step 4: Simplify right side
    10,684.68x = 128,732,110.05
  5. Step 5: Solve for x
    x = 128,732,110.05/10,684.68
  6. Step 6: Final answer
    x = 12,048.29

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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.