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Finding the Fourth Proportional to 3,267.96, 4,901.94 and 959.46

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Solution

The fourth proportional to 3,267.96, 4,901.94 and 959.46 is: 1,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.96 : 4,901.94 = 959.46 : x
  2. Step 2: Convert to fraction form
    3,267.96/4,901.94 = 959.46/x
  3. Step 3: Cross multiply
    3,267.96x = 4,901.94 × 959.46
  4. Step 4: Simplify right side
    3,267.96x = 4,703,215.35
  5. Step 5: Solve for x
    x = 4,703,215.35/3,267.96
  6. Step 6: Final answer
    x = 1,439.19

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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.