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Finding the Fourth Proportional to 6,124.74, 9,183.46 and 2,427.50

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Solution

The fourth proportional to 6,124.74, 9,183.46 and 2,427.50 is: 3,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.74 : 9,183.46 = 2,427.50 : x
  2. Step 2: Convert to fraction form
    6,124.74/9,183.46 = 2,427.50/x
  3. Step 3: Cross multiply
    6,124.74x = 9,183.46 × 2,427.50
  4. Step 4: Simplify right side
    6,124.74x = 22,292,849.15
  5. Step 5: Solve for x
    x = 22,292,849.15/6,124.74
  6. Step 6: Final answer
    x = 3,639.80

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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.