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Finding the Fourth Proportional to 6,512.64, 9,769.77 and 2,352.12

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Solution

The fourth proportional to 6,512.64, 9,769.77 and 2,352.12 is: 3,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.64 : 9,769.77 = 2,352.12 : x
  2. Step 2: Convert to fraction form
    6,512.64/9,769.77 = 2,352.12/x
  3. Step 3: Cross multiply
    6,512.64x = 9,769.77 × 2,352.12
  4. Step 4: Simplify right side
    6,512.64x = 22,979,671.41
  5. Step 5: Solve for x
    x = 22,979,671.41/6,512.64
  6. Step 6: Final answer
    x = 3,528.47

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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.