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Finding the Fourth Proportional to 10,704.68, 14,773.04 and 6,168.04

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Solution

The fourth proportional to 10,704.68, 14,773.04 and 6,168.04 is: 8,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.68 : 14,773.04 = 6,168.04 : x
  2. Step 2: Convert to fraction form
    10,704.68/14,773.04 = 6,168.04/x
  3. Step 3: Cross multiply
    10,704.68x = 14,773.04 × 6,168.04
  4. Step 4: Simplify right side
    10,704.68x = 91,120,701.64
  5. Step 5: Solve for x
    x = 91,120,701.64/10,704.68
  6. Step 6: Final answer
    x = 8,512.23

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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.