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Finding the Fourth Proportional to 4,241.40, 6,336.99 and 4,096.06

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Solution

The fourth proportional to 4,241.40, 6,336.99 and 4,096.06 is: 6,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.40 : 6,336.99 = 4,096.06 : x
  2. Step 2: Convert to fraction form
    4,241.40/6,336.99 = 4,096.06/x
  3. Step 3: Cross multiply
    4,241.40x = 6,336.99 × 4,096.06
  4. Step 4: Simplify right side
    4,241.40x = 25,956,691.26
  5. Step 5: Solve for x
    x = 25,956,691.26/4,241.40
  6. Step 6: Final answer
    x = 6,119.84

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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.