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Finding the Fourth Proportional to 6,830.48, 10,238.19 and 2,669.24

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Solution

The fourth proportional to 6,830.48, 10,238.19 and 2,669.24 is: 4,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.48 : 10,238.19 = 2,669.24 : x
  2. Step 2: Convert to fraction form
    6,830.48/10,238.19 = 2,669.24/x
  3. Step 3: Cross multiply
    6,830.48x = 10,238.19 × 2,669.24
  4. Step 4: Simplify right side
    6,830.48x = 27,328,186.28
  5. Step 5: Solve for x
    x = 27,328,186.28/6,830.48
  6. Step 6: Final answer
    x = 4,000.92

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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.