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Finding the Fourth Proportional to 6,076.81, 9,115.08 and 1,634.50

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Solution

The fourth proportional to 6,076.81, 9,115.08 and 1,634.50 is: 2,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.81 : 9,115.08 = 1,634.50 : x
  2. Step 2: Convert to fraction form
    6,076.81/9,115.08 = 1,634.50/x
  3. Step 3: Cross multiply
    6,076.81x = 9,115.08 × 1,634.50
  4. Step 4: Simplify right side
    6,076.81x = 14,898,598.26
  5. Step 5: Solve for x
    x = 14,898,598.26/6,076.81
  6. Step 6: Final answer
    x = 2,451.71

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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.