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Finding the Fourth Proportional to 4,163.55, 6,244.78 and 1,973.67

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Solution

The fourth proportional to 4,163.55, 6,244.78 and 1,973.67 is: 2,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.55 : 6,244.78 = 1,973.67 : x
  2. Step 2: Convert to fraction form
    4,163.55/6,244.78 = 1,973.67/x
  3. Step 3: Cross multiply
    4,163.55x = 6,244.78 × 1,973.67
  4. Step 4: Simplify right side
    4,163.55x = 12,325,098.78
  5. Step 5: Solve for x
    x = 12,325,098.78/4,163.55
  6. Step 6: Final answer
    x = 2,960.24

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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.