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Finding the Fourth Proportional to 6,767.63, 10,151.82 and 3,070.14

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Solution

The fourth proportional to 6,767.63, 10,151.82 and 3,070.14 is: 4,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.63 : 10,151.82 = 3,070.14 : x
  2. Step 2: Convert to fraction form
    6,767.63/10,151.82 = 3,070.14/x
  3. Step 3: Cross multiply
    6,767.63x = 10,151.82 × 3,070.14
  4. Step 4: Simplify right side
    6,767.63x = 31,167,508.65
  5. Step 5: Solve for x
    x = 31,167,508.65/6,767.63
  6. Step 6: Final answer
    x = 4,605.38

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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.