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Finding the Fourth Proportional to 6,842.84, 9,443.09 and 3,858.69

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Solution

The fourth proportional to 6,842.84, 9,443.09 and 3,858.69 is: 5,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.84 : 9,443.09 = 3,858.69 : x
  2. Step 2: Convert to fraction form
    6,842.84/9,443.09 = 3,858.69/x
  3. Step 3: Cross multiply
    6,842.84x = 9,443.09 × 3,858.69
  4. Step 4: Simplify right side
    6,842.84x = 36,438,002.01
  5. Step 5: Solve for x
    x = 36,438,002.01/6,842.84
  6. Step 6: Final answer
    x = 5,324.99

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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.