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Finding the Fourth Proportional to 6,114.81, 9,166.01 and 2,411.96

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Solution

The fourth proportional to 6,114.81, 9,166.01 and 2,411.96 is: 3,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.81 : 9,166.01 = 2,411.96 : x
  2. Step 2: Convert to fraction form
    6,114.81/9,166.01 = 2,411.96/x
  3. Step 3: Cross multiply
    6,114.81x = 9,166.01 × 2,411.96
  4. Step 4: Simplify right side
    6,114.81x = 22,108,049.48
  5. Step 5: Solve for x
    x = 22,108,049.48/6,114.81
  6. Step 6: Final answer
    x = 3,615.49

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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.