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Finding the Fourth Proportional to 9,240.42, 13,863 and 2,667.12

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Solution

The fourth proportional to 9,240.42, 13,863 and 2,667.12 is: 4,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.42 : 13,863 = 2,667.12 : x
  2. Step 2: Convert to fraction form
    9,240.42/13,863 = 2,667.12/x
  3. Step 3: Cross multiply
    9,240.42x = 13,863 × 2,667.12
  4. Step 4: Simplify right side
    9,240.42x = 36,974,284.56
  5. Step 5: Solve for x
    x = 36,974,284.56/9,240.42
  6. Step 6: Final answer
    x = 4,001.36

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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.