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Finding the Fourth Proportional to 9,216.10, 13,813.88 and 3,667.96

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Solution

The fourth proportional to 9,216.10, 13,813.88 and 3,667.96 is: 5,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.10 : 13,813.88 = 3,667.96 : x
  2. Step 2: Convert to fraction form
    9,216.10/13,813.88 = 3,667.96/x
  3. Step 3: Cross multiply
    9,216.10x = 13,813.88 × 3,667.96
  4. Step 4: Simplify right side
    9,216.10x = 50,668,759.28
  5. Step 5: Solve for x
    x = 50,668,759.28/9,216.10
  6. Step 6: Final answer
    x = 5,497.85

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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.