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Finding the Fourth Proportional to 9,073.68, 13,611.78 and 2,834.24

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Solution

The fourth proportional to 9,073.68, 13,611.78 and 2,834.24 is: 4,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.68 : 13,611.78 = 2,834.24 : x
  2. Step 2: Convert to fraction form
    9,073.68/13,611.78 = 2,834.24/x
  3. Step 3: Cross multiply
    9,073.68x = 13,611.78 × 2,834.24
  4. Step 4: Simplify right side
    9,073.68x = 38,579,051.35
  5. Step 5: Solve for x
    x = 38,579,051.35/9,073.68
  6. Step 6: Final answer
    x = 4,251.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.