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Finding the Fourth Proportional to 6,185.03, 9,278.15 and 2,024.87

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Solution

The fourth proportional to 6,185.03, 9,278.15 and 2,024.87 is: 3,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.03 : 9,278.15 = 2,024.87 : x
  2. Step 2: Convert to fraction form
    6,185.03/9,278.15 = 2,024.87/x
  3. Step 3: Cross multiply
    6,185.03x = 9,278.15 × 2,024.87
  4. Step 4: Simplify right side
    6,185.03x = 18,786,991.08
  5. Step 5: Solve for x
    x = 18,786,991.08/6,185.03
  6. Step 6: Final answer
    x = 3,037.50

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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.