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Finding the Fourth Proportional to 6,488.89, 9,726.83 and 2,534.69

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Solution

The fourth proportional to 6,488.89, 9,726.83 and 2,534.69 is: 3,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.89 : 9,726.83 = 2,534.69 : x
  2. Step 2: Convert to fraction form
    6,488.89/9,726.83 = 2,534.69/x
  3. Step 3: Cross multiply
    6,488.89x = 9,726.83 × 2,534.69
  4. Step 4: Simplify right side
    6,488.89x = 24,654,498.73
  5. Step 5: Solve for x
    x = 24,654,498.73/6,488.89
  6. Step 6: Final answer
    x = 3,799.49

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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.