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Finding the Fourth Proportional to 6,523.30, 9,786.30 and 3,747.70

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Solution

The fourth proportional to 6,523.30, 9,786.30 and 3,747.70 is: 5,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.30 : 9,786.30 = 3,747.70 : x
  2. Step 2: Convert to fraction form
    6,523.30/9,786.30 = 3,747.70/x
  3. Step 3: Cross multiply
    6,523.30x = 9,786.30 × 3,747.70
  4. Step 4: Simplify right side
    6,523.30x = 36,676,116.51
  5. Step 5: Solve for x
    x = 36,676,116.51/6,523.30
  6. Step 6: Final answer
    x = 5,622.33

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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.