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Finding the Fourth Proportional to 6,656.34, 9,983.70 and 2,273.70

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Solution

The fourth proportional to 6,656.34, 9,983.70 and 2,273.70 is: 3,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.34 : 9,983.70 = 2,273.70 : x
  2. Step 2: Convert to fraction form
    6,656.34/9,983.70 = 2,273.70/x
  3. Step 3: Cross multiply
    6,656.34x = 9,983.70 × 2,273.70
  4. Step 4: Simplify right side
    6,656.34x = 22,699,938.69
  5. Step 5: Solve for x
    x = 22,699,938.69/6,656.34
  6. Step 6: Final answer
    x = 3,410.27

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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.