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Finding the Fourth Proportional to 10,591.77, 15,887.77 and 3,196.30

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Solution

The fourth proportional to 10,591.77, 15,887.77 and 3,196.30 is: 4,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.77 : 15,887.77 = 3,196.30 : x
  2. Step 2: Convert to fraction form
    10,591.77/15,887.77 = 3,196.30/x
  3. Step 3: Cross multiply
    10,591.77x = 15,887.77 × 3,196.30
  4. Step 4: Simplify right side
    10,591.77x = 50,782,079.25
  5. Step 5: Solve for x
    x = 50,782,079.25/10,591.77
  6. Step 6: Final answer
    x = 4,794.48

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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.