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Finding the Fourth Proportional to 6,449.92, 8,902.47 and 3,933.42

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Solution

The fourth proportional to 6,449.92, 8,902.47 and 3,933.42 is: 5,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.92 : 8,902.47 = 3,933.42 : x
  2. Step 2: Convert to fraction form
    6,449.92/8,902.47 = 3,933.42/x
  3. Step 3: Cross multiply
    6,449.92x = 8,902.47 × 3,933.42
  4. Step 4: Simplify right side
    6,449.92x = 35,017,134.91
  5. Step 5: Solve for x
    x = 35,017,134.91/6,449.92
  6. Step 6: Final answer
    x = 5,429.08

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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.