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Finding the Fourth Proportional to 3,294.14, 4,912.14 and 3,264.50

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Solution

The fourth proportional to 3,294.14, 4,912.14 and 3,264.50 is: 4,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.14 : 4,912.14 = 3,264.50 : x
  2. Step 2: Convert to fraction form
    3,294.14/4,912.14 = 3,264.50/x
  3. Step 3: Cross multiply
    3,294.14x = 4,912.14 × 3,264.50
  4. Step 4: Simplify right side
    3,294.14x = 16,035,705.55
  5. Step 5: Solve for x
    x = 16,035,705.55/3,294.14
  6. Step 6: Final answer
    x = 4,867.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.