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Finding the Fourth Proportional to 11,849.97, 16,352.11 and 6,814.16

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Solution

The fourth proportional to 11,849.97, 16,352.11 and 6,814.16 is: 9,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.97 : 16,352.11 = 6,814.16 : x
  2. Step 2: Convert to fraction form
    11,849.97/16,352.11 = 6,814.16/x
  3. Step 3: Cross multiply
    11,849.97x = 16,352.11 × 6,814.16
  4. Step 4: Simplify right side
    11,849.97x = 111,425,893.88
  5. Step 5: Solve for x
    x = 111,425,893.88/11,849.97
  6. Step 6: Final answer
    x = 9,403.05

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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.