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Finding the Fourth Proportional to 6,633, 9,152.94 and 3,648.96

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Solution

The fourth proportional to 6,633, 9,152.94 and 3,648.96 is: 5,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633 : 9,152.94 = 3,648.96 : x
  2. Step 2: Convert to fraction form
    6,633/9,152.94 = 3,648.96/x
  3. Step 3: Cross multiply
    6,633x = 9,152.94 × 3,648.96
  4. Step 4: Simplify right side
    6,633x = 33,398,711.94
  5. Step 5: Solve for x
    x = 33,398,711.94/6,633
  6. Step 6: Final answer
    x = 5,035.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.