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Finding the Fourth Proportional to 6,833.25, 9,429.95 and 3,848.94

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Solution

The fourth proportional to 6,833.25, 9,429.95 and 3,848.94 is: 5,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.25 : 9,429.95 = 3,848.94 : x
  2. Step 2: Convert to fraction form
    6,833.25/9,429.95 = 3,848.94/x
  3. Step 3: Cross multiply
    6,833.25x = 9,429.95 × 3,848.94
  4. Step 4: Simplify right side
    6,833.25x = 36,295,321.38
  5. Step 5: Solve for x
    x = 36,295,321.38/6,833.25
  6. Step 6: Final answer
    x = 5,311.58

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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.