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Finding the Fourth Proportional to 6,996.57, 9,654.96 and 4,164.21

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Solution

The fourth proportional to 6,996.57, 9,654.96 and 4,164.21 is: 5,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.57 : 9,654.96 = 4,164.21 : x
  2. Step 2: Convert to fraction form
    6,996.57/9,654.96 = 4,164.21/x
  3. Step 3: Cross multiply
    6,996.57x = 9,654.96 × 4,164.21
  4. Step 4: Simplify right side
    6,996.57x = 40,205,280.98
  5. Step 5: Solve for x
    x = 40,205,280.98/6,996.57
  6. Step 6: Final answer
    x = 5,746.43

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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.