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Finding the Fourth Proportional to 11,816.89, 16,307.12 and 6,511.89

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Solution

The fourth proportional to 11,816.89, 16,307.12 and 6,511.89 is: 8,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.89 : 16,307.12 = 6,511.89 : x
  2. Step 2: Convert to fraction form
    11,816.89/16,307.12 = 6,511.89/x
  3. Step 3: Cross multiply
    11,816.89x = 16,307.12 × 6,511.89
  4. Step 4: Simplify right side
    11,816.89x = 106,190,249.09
  5. Step 5: Solve for x
    x = 106,190,249.09/11,816.89
  6. Step 6: Final answer
    x = 8,986.31

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1.5x scale

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.