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Finding the Fourth Proportional to 10,843.32, 16,238.98 and 5,564.44

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Solution

The fourth proportional to 10,843.32, 16,238.98 and 5,564.44 is: 8,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.32 : 16,238.98 = 5,564.44 : x
  2. Step 2: Convert to fraction form
    10,843.32/16,238.98 = 5,564.44/x
  3. Step 3: Cross multiply
    10,843.32x = 16,238.98 × 5,564.44
  4. Step 4: Simplify right side
    10,843.32x = 90,360,829.87
  5. Step 5: Solve for x
    x = 90,360,829.87/10,843.32
  6. Step 6: Final answer
    x = 8,333.32

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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.