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Finding the Fourth Proportional to 5,204.70, 7,817.94 and 4,424.58

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Solution

The fourth proportional to 5,204.70, 7,817.94 and 4,424.58 is: 6,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.70 : 7,817.94 = 4,424.58 : x
  2. Step 2: Convert to fraction form
    5,204.70/7,817.94 = 4,424.58/x
  3. Step 3: Cross multiply
    5,204.70x = 7,817.94 × 4,424.58
  4. Step 4: Simplify right side
    5,204.70x = 34,591,100.97
  5. Step 5: Solve for x
    x = 34,591,100.97/5,204.70
  6. Step 6: Final answer
    x = 6,646.13

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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.