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Finding the Fourth Proportional to 7,667.10, 11,496.11 and 2,400.71

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Solution

The fourth proportional to 7,667.10, 11,496.11 and 2,400.71 is: 3,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.10 : 11,496.11 = 2,400.71 : x
  2. Step 2: Convert to fraction form
    7,667.10/11,496.11 = 2,400.71/x
  3. Step 3: Cross multiply
    7,667.10x = 11,496.11 × 2,400.71
  4. Step 4: Simplify right side
    7,667.10x = 27,598,756.75
  5. Step 5: Solve for x
    x = 27,598,756.75/7,667.10
  6. Step 6: Final answer
    x = 3,599.63

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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.