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Finding the Fourth Proportional to 6,851.94, 10,277.94 and 2,171.94

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Solution

The fourth proportional to 6,851.94, 10,277.94 and 2,171.94 is: 3,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.94 : 10,277.94 = 2,171.94 : x
  2. Step 2: Convert to fraction form
    6,851.94/10,277.94 = 2,171.94/x
  3. Step 3: Cross multiply
    6,851.94x = 10,277.94 × 2,171.94
  4. Step 4: Simplify right side
    6,851.94x = 22,323,069.00
  5. Step 5: Solve for x
    x = 22,323,069.00/6,851.94
  6. Step 6: Final answer
    x = 3,257.92

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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.