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Finding the Fourth Proportional to 6,182.76, 9,262.52 and 3,059.14

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Solution

The fourth proportional to 6,182.76, 9,262.52 and 3,059.14 is: 4,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.76 : 9,262.52 = 3,059.14 : x
  2. Step 2: Convert to fraction form
    6,182.76/9,262.52 = 3,059.14/x
  3. Step 3: Cross multiply
    6,182.76x = 9,262.52 × 3,059.14
  4. Step 4: Simplify right side
    6,182.76x = 28,335,345.43
  5. Step 5: Solve for x
    x = 28,335,345.43/6,182.76
  6. Step 6: Final answer
    x = 4,582.96

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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.