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Finding the Fourth Proportional to 11,950.85, 16,492.47 and 6,646

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Solution

The fourth proportional to 11,950.85, 16,492.47 and 6,646 is: 9,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.85 : 16,492.47 = 6,646 : x
  2. Step 2: Convert to fraction form
    11,950.85/16,492.47 = 6,646/x
  3. Step 3: Cross multiply
    11,950.85x = 16,492.47 × 6,646
  4. Step 4: Simplify right side
    11,950.85x = 109,608,955.62
  5. Step 5: Solve for x
    x = 109,608,955.62/11,950.85
  6. Step 6: Final answer
    x = 9,171.65

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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.