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Finding the Fourth Proportional to 6,814.14, 9,403.71 and 3,829.89

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Solution

The fourth proportional to 6,814.14, 9,403.71 and 3,829.89 is: 5,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.14 : 9,403.71 = 3,829.89 : x
  2. Step 2: Convert to fraction form
    6,814.14/9,403.71 = 3,829.89/x
  3. Step 3: Cross multiply
    6,814.14x = 9,403.71 × 3,829.89
  4. Step 4: Simplify right side
    6,814.14x = 36,015,174.89
  5. Step 5: Solve for x
    x = 36,015,174.89/6,814.14
  6. Step 6: Final answer
    x = 5,285.36

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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.