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Finding the Fourth Proportional to 7,651.73, 11,471.00 and 6,346.37

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Solution

The fourth proportional to 7,651.73, 11,471.00 and 6,346.37 is: 9,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.73 : 11,471.00 = 6,346.37 : x
  2. Step 2: Convert to fraction form
    7,651.73/11,471.00 = 6,346.37/x
  3. Step 3: Cross multiply
    7,651.73x = 11,471.00 × 6,346.37
  4. Step 4: Simplify right side
    7,651.73x = 72,799,207.22
  5. Step 5: Solve for x
    x = 72,799,207.22/7,651.73
  6. Step 6: Final answer
    x = 9,514.08

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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.