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Finding the Fourth Proportional to 6,472.64, 9,701.46 and 2,769.32

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Solution

The fourth proportional to 6,472.64, 9,701.46 and 2,769.32 is: 4,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.64 : 9,701.46 = 2,769.32 : x
  2. Step 2: Convert to fraction form
    6,472.64/9,701.46 = 2,769.32/x
  3. Step 3: Cross multiply
    6,472.64x = 9,701.46 × 2,769.32
  4. Step 4: Simplify right side
    6,472.64x = 26,866,447.21
  5. Step 5: Solve for x
    x = 26,866,447.21/6,472.64
  6. Step 6: Final answer
    x = 4,150.77

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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.