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Finding the Fourth Proportional to 6,108.04, 9,162.64 and 1,665.76

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Solution

The fourth proportional to 6,108.04, 9,162.64 and 1,665.76 is: 2,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.04 : 9,162.64 = 1,665.76 : x
  2. Step 2: Convert to fraction form
    6,108.04/9,162.64 = 1,665.76/x
  3. Step 3: Cross multiply
    6,108.04x = 9,162.64 × 1,665.76
  4. Step 4: Simplify right side
    6,108.04x = 15,262,759.21
  5. Step 5: Solve for x
    x = 15,262,759.21/6,108.04
  6. Step 6: Final answer
    x = 2,498.80

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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.