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Finding the Fourth Proportional to 6,533, 9,793.02 and 3,612.68

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Solution

The fourth proportional to 6,533, 9,793.02 and 3,612.68 is: 5,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533 : 9,793.02 = 3,612.68 : x
  2. Step 2: Convert to fraction form
    6,533/9,793.02 = 3,612.68/x
  3. Step 3: Cross multiply
    6,533x = 9,793.02 × 3,612.68
  4. Step 4: Simplify right side
    6,533x = 35,379,047.49
  5. Step 5: Solve for x
    x = 35,379,047.49/6,533
  6. Step 6: Final answer
    x = 5,415.44

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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.