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Finding the Fourth Proportional to 9,242.82, 13,860.11 and 2,667.44

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Solution

The fourth proportional to 9,242.82, 13,860.11 and 2,667.44 is: 3,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.82 : 13,860.11 = 2,667.44 : x
  2. Step 2: Convert to fraction form
    9,242.82/13,860.11 = 2,667.44/x
  3. Step 3: Cross multiply
    9,242.82x = 13,860.11 × 2,667.44
  4. Step 4: Simplify right side
    9,242.82x = 36,971,053.14
  5. Step 5: Solve for x
    x = 36,971,053.14/9,242.82
  6. Step 6: Final answer
    x = 3,999.98

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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.