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Finding the Fourth Proportional to 9,200.67, 13,781.53 and 7,636.96

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Solution

The fourth proportional to 9,200.67, 13,781.53 and 7,636.96 is: 11,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.67 : 13,781.53 = 7,636.96 : x
  2. Step 2: Convert to fraction form
    9,200.67/13,781.53 = 7,636.96/x
  3. Step 3: Cross multiply
    9,200.67x = 13,781.53 × 7,636.96
  4. Step 4: Simplify right side
    9,200.67x = 105,248,993.35
  5. Step 5: Solve for x
    x = 105,248,993.35/9,200.67
  6. Step 6: Final answer
    x = 11,439.27

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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.