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Finding the Fourth Proportional to 4,902.55, 6,768.32 and 3,228.82

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Solution

The fourth proportional to 4,902.55, 6,768.32 and 3,228.82 is: 4,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.55 : 6,768.32 = 3,228.82 : x
  2. Step 2: Convert to fraction form
    4,902.55/6,768.32 = 3,228.82/x
  3. Step 3: Cross multiply
    4,902.55x = 6,768.32 × 3,228.82
  4. Step 4: Simplify right side
    4,902.55x = 21,853,653.92
  5. Step 5: Solve for x
    x = 21,853,653.92/4,902.55
  6. Step 6: Final answer
    x = 4,457.61

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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.