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Finding the Fourth Proportional to 10,444.65, 15,676.93 and 6,483.92

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Solution

The fourth proportional to 10,444.65, 15,676.93 and 6,483.92 is: 9,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.65 : 15,676.93 = 6,483.92 : x
  2. Step 2: Convert to fraction form
    10,444.65/15,676.93 = 6,483.92/x
  3. Step 3: Cross multiply
    10,444.65x = 15,676.93 × 6,483.92
  4. Step 4: Simplify right side
    10,444.65x = 101,647,992.33
  5. Step 5: Solve for x
    x = 101,647,992.33/10,444.65
  6. Step 6: Final answer
    x = 9,732.06

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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.