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Finding the Fourth Proportional to 6,597.73, 9,889.66 and 2,435.09

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Solution

The fourth proportional to 6,597.73, 9,889.66 and 2,435.09 is: 3,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.73 : 9,889.66 = 2,435.09 : x
  2. Step 2: Convert to fraction form
    6,597.73/9,889.66 = 2,435.09/x
  3. Step 3: Cross multiply
    6,597.73x = 9,889.66 × 2,435.09
  4. Step 4: Simplify right side
    6,597.73x = 24,082,165.76
  5. Step 5: Solve for x
    x = 24,082,165.76/6,597.73
  6. Step 6: Final answer
    x = 3,650.07

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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.