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Finding the Fourth Proportional to 6,694.65, 10,029.42 and 4,612.14

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Solution

The fourth proportional to 6,694.65, 10,029.42 and 4,612.14 is: 6,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.65 : 10,029.42 = 4,612.14 : x
  2. Step 2: Convert to fraction form
    6,694.65/10,029.42 = 4,612.14/x
  3. Step 3: Cross multiply
    6,694.65x = 10,029.42 × 4,612.14
  4. Step 4: Simplify right side
    6,694.65x = 46,257,089.16
  5. Step 5: Solve for x
    x = 46,257,089.16/6,694.65
  6. Step 6: Final answer
    x = 6,909.56

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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.