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Finding the Fourth Proportional to 10,860.75, 16,293.42 and 6,183

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Solution

The fourth proportional to 10,860.75, 16,293.42 and 6,183 is: 9,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.75 : 16,293.42 = 6,183 : x
  2. Step 2: Convert to fraction form
    10,860.75/16,293.42 = 6,183/x
  3. Step 3: Cross multiply
    10,860.75x = 16,293.42 × 6,183
  4. Step 4: Simplify right side
    10,860.75x = 100,742,215.86
  5. Step 5: Solve for x
    x = 100,742,215.86/10,860.75
  6. Step 6: Final answer
    x = 9,275.81

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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.