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Finding the Fourth Proportional to 12,007.33, 16,569.84 and 6,702.64

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Solution

The fourth proportional to 12,007.33, 16,569.84 and 6,702.64 is: 9,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.33 : 16,569.84 = 6,702.64 : x
  2. Step 2: Convert to fraction form
    12,007.33/16,569.84 = 6,702.64/x
  3. Step 3: Cross multiply
    12,007.33x = 16,569.84 × 6,702.64
  4. Step 4: Simplify right side
    12,007.33x = 111,061,672.38
  5. Step 5: Solve for x
    x = 111,061,672.38/12,007.33
  6. Step 6: Final answer
    x = 9,249.49

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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.