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Finding the Fourth Proportional to 4,755.52, 6,562.74 and 3,164.86

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Solution

The fourth proportional to 4,755.52, 6,562.74 and 3,164.86 is: 4,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.52 : 6,562.74 = 3,164.86 : x
  2. Step 2: Convert to fraction form
    4,755.52/6,562.74 = 3,164.86/x
  3. Step 3: Cross multiply
    4,755.52x = 6,562.74 × 3,164.86
  4. Step 4: Simplify right side
    4,755.52x = 20,770,153.32
  5. Step 5: Solve for x
    x = 20,770,153.32/4,755.52
  6. Step 6: Final answer
    x = 4,367.59

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1.5x scale

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.