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Finding the Fourth Proportional to 6,471.50, 9,700.52 and 4,391.69

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Solution

The fourth proportional to 6,471.50, 9,700.52 and 4,391.69 is: 6,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.50 : 9,700.52 = 4,391.69 : x
  2. Step 2: Convert to fraction form
    6,471.50/9,700.52 = 4,391.69/x
  3. Step 3: Cross multiply
    6,471.50x = 9,700.52 × 4,391.69
  4. Step 4: Simplify right side
    6,471.50x = 42,601,676.68
  5. Step 5: Solve for x
    x = 42,601,676.68/6,471.50
  6. Step 6: Final answer
    x = 6,582.97

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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.