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Finding the Fourth Proportional to 6,730.66, 10,096.92 and 2,347.48

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Solution

The fourth proportional to 6,730.66, 10,096.92 and 2,347.48 is: 3,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.66 : 10,096.92 = 2,347.48 : x
  2. Step 2: Convert to fraction form
    6,730.66/10,096.92 = 2,347.48/x
  3. Step 3: Cross multiply
    6,730.66x = 10,096.92 × 2,347.48
  4. Step 4: Simplify right side
    6,730.66x = 23,702,317.76
  5. Step 5: Solve for x
    x = 23,702,317.76/6,730.66
  6. Step 6: Final answer
    x = 3,521.54

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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.