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Finding the Fourth Proportional to 8,522.43, 12,783.66 and 2,366.43

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Solution

The fourth proportional to 8,522.43, 12,783.66 and 2,366.43 is: 3,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.43 : 12,783.66 = 2,366.43 : x
  2. Step 2: Convert to fraction form
    8,522.43/12,783.66 = 2,366.43/x
  3. Step 3: Cross multiply
    8,522.43x = 12,783.66 × 2,366.43
  4. Step 4: Simplify right side
    8,522.43x = 30,251,636.53
  5. Step 5: Solve for x
    x = 30,251,636.53/8,522.43
  6. Step 6: Final answer
    x = 3,549.65

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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.