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Finding the Fourth Proportional to 6,432.50, 9,664.89 and 4,093.52

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Solution

The fourth proportional to 6,432.50, 9,664.89 and 4,093.52 is: 6,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.50 : 9,664.89 = 4,093.52 : x
  2. Step 2: Convert to fraction form
    6,432.50/9,664.89 = 4,093.52/x
  3. Step 3: Cross multiply
    6,432.50x = 9,664.89 × 4,093.52
  4. Step 4: Simplify right side
    6,432.50x = 39,563,351.72
  5. Step 5: Solve for x
    x = 39,563,351.72/6,432.50
  6. Step 6: Final answer
    x = 6,150.55

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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.