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Finding the Fourth Proportional to 6,315.05, 9,472.60 and 1,932.49

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Solution

The fourth proportional to 6,315.05, 9,472.60 and 1,932.49 is: 2,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.05 : 9,472.60 = 1,932.49 : x
  2. Step 2: Convert to fraction form
    6,315.05/9,472.60 = 1,932.49/x
  3. Step 3: Cross multiply
    6,315.05x = 9,472.60 × 1,932.49
  4. Step 4: Simplify right side
    6,315.05x = 18,305,695.11
  5. Step 5: Solve for x
    x = 18,305,695.11/6,315.05
  6. Step 6: Final answer
    x = 2,898.74

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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.