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Finding the Fourth Proportional to 6,833.70, 9,429.81 and 3,849.06

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Solution

The fourth proportional to 6,833.70, 9,429.81 and 3,849.06 is: 5,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.70 : 9,429.81 = 3,849.06 : x
  2. Step 2: Convert to fraction form
    6,833.70/9,429.81 = 3,849.06/x
  3. Step 3: Cross multiply
    6,833.70x = 9,429.81 × 3,849.06
  4. Step 4: Simplify right side
    6,833.70x = 36,295,904.48
  5. Step 5: Solve for x
    x = 36,295,904.48/6,833.70
  6. Step 6: Final answer
    x = 5,311.31

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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.