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Finding the Fourth Proportional to 11,953.38, 16,495.53 and 6,648.66

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Solution

The fourth proportional to 11,953.38, 16,495.53 and 6,648.66 is: 9,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.38 : 16,495.53 = 6,648.66 : x
  2. Step 2: Convert to fraction form
    11,953.38/16,495.53 = 6,648.66/x
  3. Step 3: Cross multiply
    11,953.38x = 16,495.53 × 6,648.66
  4. Step 4: Simplify right side
    11,953.38x = 109,673,170.49
  5. Step 5: Solve for x
    x = 109,673,170.49/11,953.38
  6. Step 6: Final answer
    x = 9,175.08

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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.