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Finding the Fourth Proportional to 6,483.24, 9,726.29 and 1,865.88

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Solution

The fourth proportional to 6,483.24, 9,726.29 and 1,865.88 is: 2,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.24 : 9,726.29 = 1,865.88 : x
  2. Step 2: Convert to fraction form
    6,483.24/9,726.29 = 1,865.88/x
  3. Step 3: Cross multiply
    6,483.24x = 9,726.29 × 1,865.88
  4. Step 4: Simplify right side
    6,483.24x = 18,148,046.02
  5. Step 5: Solve for x
    x = 18,148,046.02/6,483.24
  6. Step 6: Final answer
    x = 2,799.23

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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.