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Finding the Fourth Proportional to 6,114.70, 9,167.91 and 2,415.93

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Solution

The fourth proportional to 6,114.70, 9,167.91 and 2,415.93 is: 3,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.70 : 9,167.91 = 2,415.93 : x
  2. Step 2: Convert to fraction form
    6,114.70/9,167.91 = 2,415.93/x
  3. Step 3: Cross multiply
    6,114.70x = 9,167.91 × 2,415.93
  4. Step 4: Simplify right side
    6,114.70x = 22,149,028.81
  5. Step 5: Solve for x
    x = 22,149,028.81/6,114.70
  6. Step 6: Final answer
    x = 3,622.26

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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.