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Finding the Fourth Proportional to 11,599.78, 17,399.66 and 4,204.22

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Solution

The fourth proportional to 11,599.78, 17,399.66 and 4,204.22 is: 6,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.78 : 17,399.66 = 4,204.22 : x
  2. Step 2: Convert to fraction form
    11,599.78/17,399.66 = 4,204.22/x
  3. Step 3: Cross multiply
    11,599.78x = 17,399.66 × 4,204.22
  4. Step 4: Simplify right side
    11,599.78x = 73,152,035.47
  5. Step 5: Solve for x
    x = 73,152,035.47/11,599.78
  6. Step 6: Final answer
    x = 6,306.33

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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.