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Finding the Fourth Proportional to 10,959.36, 16,422.84 and 5,749.44

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Solution

The fourth proportional to 10,959.36, 16,422.84 and 5,749.44 is: 8,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.36 : 16,422.84 = 5,749.44 : x
  2. Step 2: Convert to fraction form
    10,959.36/16,422.84 = 5,749.44/x
  3. Step 3: Cross multiply
    10,959.36x = 16,422.84 × 5,749.44
  4. Step 4: Simplify right side
    10,959.36x = 94,422,133.21
  5. Step 5: Solve for x
    x = 94,422,133.21/10,959.36
  6. Step 6: Final answer
    x = 8,615.66

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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.