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Finding the Fourth Proportional to 6,406.89, 9,610.94 and 2,024.99

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Solution

The fourth proportional to 6,406.89, 9,610.94 and 2,024.99 is: 3,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.89 : 9,610.94 = 2,024.99 : x
  2. Step 2: Convert to fraction form
    6,406.89/9,610.94 = 2,024.99/x
  3. Step 3: Cross multiply
    6,406.89x = 9,610.94 × 2,024.99
  4. Step 4: Simplify right side
    6,406.89x = 19,462,057.39
  5. Step 5: Solve for x
    x = 19,462,057.39/6,406.89
  6. Step 6: Final answer
    x = 3,037.68

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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.