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Finding the Fourth Proportional to 13,083.62, 18,049.04 and 7,774.67

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Solution

The fourth proportional to 13,083.62, 18,049.04 and 7,774.67 is: 10,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.62 : 18,049.04 = 7,774.67 : x
  2. Step 2: Convert to fraction form
    13,083.62/18,049.04 = 7,774.67/x
  3. Step 3: Cross multiply
    13,083.62x = 18,049.04 × 7,774.67
  4. Step 4: Simplify right side
    13,083.62x = 140,325,336.07
  5. Step 5: Solve for x
    x = 140,325,336.07/13,083.62
  6. Step 6: Final answer
    x = 10,725.27

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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.