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Finding the Fourth Proportional to 8,152.96, 12,230.36 and 2,957.62

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Solution

The fourth proportional to 8,152.96, 12,230.36 and 2,957.62 is: 4,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.96 : 12,230.36 = 2,957.62 : x
  2. Step 2: Convert to fraction form
    8,152.96/12,230.36 = 2,957.62/x
  3. Step 3: Cross multiply
    8,152.96x = 12,230.36 × 2,957.62
  4. Step 4: Simplify right side
    8,152.96x = 36,172,757.34
  5. Step 5: Solve for x
    x = 36,172,757.34/8,152.96
  6. Step 6: Final answer
    x = 4,436.76

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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.