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Finding the Fourth Proportional to 6,633.81, 9,934.52 and 6,458.85

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Solution

The fourth proportional to 6,633.81, 9,934.52 and 6,458.85 is: 9,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.81 : 9,934.52 = 6,458.85 : x
  2. Step 2: Convert to fraction form
    6,633.81/9,934.52 = 6,458.85/x
  3. Step 3: Cross multiply
    6,633.81x = 9,934.52 × 6,458.85
  4. Step 4: Simplify right side
    6,633.81x = 64,165,542.21
  5. Step 5: Solve for x
    x = 64,165,542.21/6,633.81
  6. Step 6: Final answer
    x = 9,672.50

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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.