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Finding the Fourth Proportional to 4,567, 6,299.94 and 3,072.28

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Solution

The fourth proportional to 4,567, 6,299.94 and 3,072.28 is: 4,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567 : 6,299.94 = 3,072.28 : x
  2. Step 2: Convert to fraction form
    4,567/6,299.94 = 3,072.28/x
  3. Step 3: Cross multiply
    4,567x = 6,299.94 × 3,072.28
  4. Step 4: Simplify right side
    4,567x = 19,355,179.66
  5. Step 5: Solve for x
    x = 19,355,179.66/4,567
  6. Step 6: Final answer
    x = 4,238.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.