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Finding the Fourth Proportional to 11,849.64, 16,352.82 and 6,814.82

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Solution

The fourth proportional to 11,849.64, 16,352.82 and 6,814.82 is: 9,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.64 : 16,352.82 = 6,814.82 : x
  2. Step 2: Convert to fraction form
    11,849.64/16,352.82 = 6,814.82/x
  3. Step 3: Cross multiply
    11,849.64x = 16,352.82 × 6,814.82
  4. Step 4: Simplify right side
    11,849.64x = 111,441,443.03
  5. Step 5: Solve for x
    x = 111,441,443.03/11,849.64
  6. Step 6: Final answer
    x = 9,404.63

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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.