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Finding the Fourth Proportional to 6,814.67, 9,406.13 and 3,982.64

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Solution

The fourth proportional to 6,814.67, 9,406.13 and 3,982.64 is: 5,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.67 : 9,406.13 = 3,982.64 : x
  2. Step 2: Convert to fraction form
    6,814.67/9,406.13 = 3,982.64/x
  3. Step 3: Cross multiply
    6,814.67x = 9,406.13 × 3,982.64
  4. Step 4: Simplify right side
    6,814.67x = 37,461,162.64
  5. Step 5: Solve for x
    x = 37,461,162.64/6,814.67
  6. Step 6: Final answer
    x = 5,497.14

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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.