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Finding the Fourth Proportional to 6,126, 9,177.44 and 3,619.71

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Solution

The fourth proportional to 6,126, 9,177.44 and 3,619.71 is: 5,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126 : 9,177.44 = 3,619.71 : x
  2. Step 2: Convert to fraction form
    6,126/9,177.44 = 3,619.71/x
  3. Step 3: Cross multiply
    6,126x = 9,177.44 × 3,619.71
  4. Step 4: Simplify right side
    6,126x = 33,219,671.34
  5. Step 5: Solve for x
    x = 33,219,671.34/6,126
  6. Step 6: Final answer
    x = 5,422.73

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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.