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Finding the Fourth Proportional to 6,134.43, 9,201.95 and 1,752.54

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Solution

The fourth proportional to 6,134.43, 9,201.95 and 1,752.54 is: 2,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.43 : 9,201.95 = 1,752.54 : x
  2. Step 2: Convert to fraction form
    6,134.43/9,201.95 = 1,752.54/x
  3. Step 3: Cross multiply
    6,134.43x = 9,201.95 × 1,752.54
  4. Step 4: Simplify right side
    6,134.43x = 16,126,785.45
  5. Step 5: Solve for x
    x = 16,126,785.45/6,134.43
  6. Step 6: Final answer
    x = 2,628.90

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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.