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Finding the Fourth Proportional to 6,068.34, 9,102.51 and 3,469.46

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Solution

The fourth proportional to 6,068.34, 9,102.51 and 3,469.46 is: 5,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.34 : 9,102.51 = 3,469.46 : x
  2. Step 2: Convert to fraction form
    6,068.34/9,102.51 = 3,469.46/x
  3. Step 3: Cross multiply
    6,068.34x = 9,102.51 × 3,469.46
  4. Step 4: Simplify right side
    6,068.34x = 31,580,735.82
  5. Step 5: Solve for x
    x = 31,580,735.82/6,068.34
  6. Step 6: Final answer
    x = 5,204.18

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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.