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Finding the Fourth Proportional to 6,275, 9,412.50 and 2,171

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Solution

The fourth proportional to 6,275, 9,412.50 and 2,171 is: 3,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275 : 9,412.50 = 2,171 : x
  2. Step 2: Convert to fraction form
    6,275/9,412.50 = 2,171/x
  3. Step 3: Cross multiply
    6,275x = 9,412.50 × 2,171
  4. Step 4: Simplify right side
    6,275x = 20,434,537.50
  5. Step 5: Solve for x
    x = 20,434,537.50/6,275
  6. Step 6: Final answer
    x = 3,256.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.