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Finding the Fourth Proportional to 6,325.13, 9,491.41 and 2,815.29

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Solution

The fourth proportional to 6,325.13, 9,491.41 and 2,815.29 is: 4,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.13 : 9,491.41 = 2,815.29 : x
  2. Step 2: Convert to fraction form
    6,325.13/9,491.41 = 2,815.29/x
  3. Step 3: Cross multiply
    6,325.13x = 9,491.41 × 2,815.29
  4. Step 4: Simplify right side
    6,325.13x = 26,721,071.66
  5. Step 5: Solve for x
    x = 26,721,071.66/6,325.13
  6. Step 6: Final answer
    x = 4,224.59

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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.