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Finding the Fourth Proportional to 6,834.63, 9,429.69 and 4,179.27

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Solution

The fourth proportional to 6,834.63, 9,429.69 and 4,179.27 is: 5,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.63 : 9,429.69 = 4,179.27 : x
  2. Step 2: Convert to fraction form
    6,834.63/9,429.69 = 4,179.27/x
  3. Step 3: Cross multiply
    6,834.63x = 9,429.69 × 4,179.27
  4. Step 4: Simplify right side
    6,834.63x = 39,409,220.53
  5. Step 5: Solve for x
    x = 39,409,220.53/6,834.63
  6. Step 6: Final answer
    x = 5,766.11

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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.