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Finding the Fourth Proportional to 11,951.69, 16,492.64 and 6,646.38

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Solution

The fourth proportional to 11,951.69, 16,492.64 and 6,646.38 is: 9,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.69 : 16,492.64 = 6,646.38 : x
  2. Step 2: Convert to fraction form
    11,951.69/16,492.64 = 6,646.38/x
  3. Step 3: Cross multiply
    11,951.69x = 16,492.64 × 6,646.38
  4. Step 4: Simplify right side
    11,951.69x = 109,616,319.41
  5. Step 5: Solve for x
    x = 109,616,319.41/11,951.69
  6. Step 6: Final answer
    x = 9,171.62

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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.