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Finding the Fourth Proportional to 6,532.35, 9,789.71 and 3,563.49

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Solution

The fourth proportional to 6,532.35, 9,789.71 and 3,563.49 is: 5,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.35 : 9,789.71 = 3,563.49 : x
  2. Step 2: Convert to fraction form
    6,532.35/9,789.71 = 3,563.49/x
  3. Step 3: Cross multiply
    6,532.35x = 9,789.71 × 3,563.49
  4. Step 4: Simplify right side
    6,532.35x = 34,885,572.63
  5. Step 5: Solve for x
    x = 34,885,572.63/6,532.35
  6. Step 6: Final answer
    x = 5,340.44

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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.