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Finding the Fourth Proportional to 8,207.56, 12,304.36 and 3,763.76

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Solution

The fourth proportional to 8,207.56, 12,304.36 and 3,763.76 is: 5,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.56 : 12,304.36 = 3,763.76 : x
  2. Step 2: Convert to fraction form
    8,207.56/12,304.36 = 3,763.76/x
  3. Step 3: Cross multiply
    8,207.56x = 12,304.36 × 3,763.76
  4. Step 4: Simplify right side
    8,207.56x = 46,310,657.99
  5. Step 5: Solve for x
    x = 46,310,657.99/8,207.56
  6. Step 6: Final answer
    x = 5,642.44

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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.