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Finding the Fourth Proportional to 6,201.96, 9,303.90 and 2,097

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Solution

The fourth proportional to 6,201.96, 9,303.90 and 2,097 is: 3,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.96 : 9,303.90 = 2,097 : x
  2. Step 2: Convert to fraction form
    6,201.96/9,303.90 = 2,097/x
  3. Step 3: Cross multiply
    6,201.96x = 9,303.90 × 2,097
  4. Step 4: Simplify right side
    6,201.96x = 19,510,278.30
  5. Step 5: Solve for x
    x = 19,510,278.30/6,201.96
  6. Step 6: Final answer
    x = 3,145.82

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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.