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Finding the Fourth Proportional to 13,462.96, 20,197.64 and 4,228.96

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Solution

The fourth proportional to 13,462.96, 20,197.64 and 4,228.96 is: 6,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.96 : 20,197.64 = 4,228.96 : x
  2. Step 2: Convert to fraction form
    13,462.96/20,197.64 = 4,228.96/x
  3. Step 3: Cross multiply
    13,462.96x = 20,197.64 × 4,228.96
  4. Step 4: Simplify right side
    13,462.96x = 85,415,011.65
  5. Step 5: Solve for x
    x = 85,415,011.65/13,462.96
  6. Step 6: Final answer
    x = 6,344.45

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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.