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Finding the Fourth Proportional to 4,364.71, 6,558 and 4,102.27

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Solution

The fourth proportional to 4,364.71, 6,558 and 4,102.27 is: 6,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.71 : 6,558 = 4,102.27 : x
  2. Step 2: Convert to fraction form
    4,364.71/6,558 = 4,102.27/x
  3. Step 3: Cross multiply
    4,364.71x = 6,558 × 4,102.27
  4. Step 4: Simplify right side
    4,364.71x = 26,902,686.66
  5. Step 5: Solve for x
    x = 26,902,686.66/4,364.71
  6. Step 6: Final answer
    x = 6,163.68

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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.