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Finding the Fourth Proportional to 10,843.57, 16,239.36 and 5,564.68

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Solution

The fourth proportional to 10,843.57, 16,239.36 and 5,564.68 is: 8,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.57 : 16,239.36 = 5,564.68 : x
  2. Step 2: Convert to fraction form
    10,843.57/16,239.36 = 5,564.68/x
  3. Step 3: Cross multiply
    10,843.57x = 16,239.36 × 5,564.68
  4. Step 4: Simplify right side
    10,843.57x = 90,366,841.80
  5. Step 5: Solve for x
    x = 90,366,841.80/10,843.57
  6. Step 6: Final answer
    x = 8,333.68

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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.