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Finding the Fourth Proportional to 7,096.01, 10,645.70 and 2,165.33

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Solution

The fourth proportional to 7,096.01, 10,645.70 and 2,165.33 is: 3,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.01 : 10,645.70 = 2,165.33 : x
  2. Step 2: Convert to fraction form
    7,096.01/10,645.70 = 2,165.33/x
  3. Step 3: Cross multiply
    7,096.01x = 10,645.70 × 2,165.33
  4. Step 4: Simplify right side
    7,096.01x = 23,051,469.37
  5. Step 5: Solve for x
    x = 23,051,469.37/7,096.01
  6. Step 6: Final answer
    x = 3,248.51

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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.