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Finding the Fourth Proportional to 12,593.64, 18,891.53 and 3,828.63

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Solution

The fourth proportional to 12,593.64, 18,891.53 and 3,828.63 is: 5,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.64 : 18,891.53 = 3,828.63 : x
  2. Step 2: Convert to fraction form
    12,593.64/18,891.53 = 3,828.63/x
  3. Step 3: Cross multiply
    12,593.64x = 18,891.53 × 3,828.63
  4. Step 4: Simplify right side
    12,593.64x = 72,328,678.50
  5. Step 5: Solve for x
    x = 72,328,678.50/12,593.64
  6. Step 6: Final answer
    x = 5,743.27

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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.