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Finding the Fourth Proportional to 6,628.65, 9,946.85 and 2,471.52

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Solution

The fourth proportional to 6,628.65, 9,946.85 and 2,471.52 is: 3,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.65 : 9,946.85 = 2,471.52 : x
  2. Step 2: Convert to fraction form
    6,628.65/9,946.85 = 2,471.52/x
  3. Step 3: Cross multiply
    6,628.65x = 9,946.85 × 2,471.52
  4. Step 4: Simplify right side
    6,628.65x = 24,583,863.66
  5. Step 5: Solve for x
    x = 24,583,863.66/6,628.65
  6. Step 6: Final answer
    x = 3,708.73

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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.