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Finding the Fourth Proportional to 6,432.37, 9,642.39 and 2,046.97

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Solution

The fourth proportional to 6,432.37, 9,642.39 and 2,046.97 is: 3,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.37 : 9,642.39 = 2,046.97 : x
  2. Step 2: Convert to fraction form
    6,432.37/9,642.39 = 2,046.97/x
  3. Step 3: Cross multiply
    6,432.37x = 9,642.39 × 2,046.97
  4. Step 4: Simplify right side
    6,432.37x = 19,737,683.06
  5. Step 5: Solve for x
    x = 19,737,683.06/6,432.37
  6. Step 6: Final answer
    x = 3,068.49

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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.