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Finding the Fourth Proportional to 7,646.56, 11,470.96 and 3,264

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Solution

The fourth proportional to 7,646.56, 11,470.96 and 3,264 is: 4,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.56 : 11,470.96 = 3,264 : x
  2. Step 2: Convert to fraction form
    7,646.56/11,470.96 = 3,264/x
  3. Step 3: Cross multiply
    7,646.56x = 11,470.96 × 3,264
  4. Step 4: Simplify right side
    7,646.56x = 37,441,213.44
  5. Step 5: Solve for x
    x = 37,441,213.44/7,646.56
  6. Step 6: Final answer
    x = 4,896.48

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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.