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Finding the Fourth Proportional to 6,660, 9,188.46 and 4,422.96

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Solution

The fourth proportional to 6,660, 9,188.46 and 4,422.96 is: 6,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660 : 9,188.46 = 4,422.96 : x
  2. Step 2: Convert to fraction form
    6,660/9,188.46 = 4,422.96/x
  3. Step 3: Cross multiply
    6,660x = 9,188.46 × 4,422.96
  4. Step 4: Simplify right side
    6,660x = 40,640,191.04
  5. Step 5: Solve for x
    x = 40,640,191.04/6,660
  6. Step 6: Final answer
    x = 6,102.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.