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Finding the Fourth Proportional to 8,252.96, 12,382.68 and 4,742.96

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Solution

The fourth proportional to 8,252.96, 12,382.68 and 4,742.96 is: 7,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.96 : 12,382.68 = 4,742.96 : x
  2. Step 2: Convert to fraction form
    8,252.96/12,382.68 = 4,742.96/x
  3. Step 3: Cross multiply
    8,252.96x = 12,382.68 × 4,742.96
  4. Step 4: Simplify right side
    8,252.96x = 58,730,555.93
  5. Step 5: Solve for x
    x = 58,730,555.93/8,252.96
  6. Step 6: Final answer
    x = 7,116.30

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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.