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Finding the Fourth Proportional to 6,476.33, 9,702.06 and 3,694.79

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Solution

The fourth proportional to 6,476.33, 9,702.06 and 3,694.79 is: 5,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.33 : 9,702.06 = 3,694.79 : x
  2. Step 2: Convert to fraction form
    6,476.33/9,702.06 = 3,694.79/x
  3. Step 3: Cross multiply
    6,476.33x = 9,702.06 × 3,694.79
  4. Step 4: Simplify right side
    6,476.33x = 35,847,025.76
  5. Step 5: Solve for x
    x = 35,847,025.76/6,476.33
  6. Step 6: Final answer
    x = 5,535.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.