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Finding the Fourth Proportional to 6,176.52, 9,262.85 and 2,015.58

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Solution

The fourth proportional to 6,176.52, 9,262.85 and 2,015.58 is: 3,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.52 : 9,262.85 = 2,015.58 : x
  2. Step 2: Convert to fraction form
    6,176.52/9,262.85 = 2,015.58/x
  3. Step 3: Cross multiply
    6,176.52x = 9,262.85 × 2,015.58
  4. Step 4: Simplify right side
    6,176.52x = 18,670,005.13
  5. Step 5: Solve for x
    x = 18,670,005.13/6,176.52
  6. Step 6: Final answer
    x = 3,022.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.