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Finding the Fourth Proportional to 6,493.80, 8,961.54 and 3,699.24

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Solution

The fourth proportional to 6,493.80, 8,961.54 and 3,699.24 is: 5,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.80 : 8,961.54 = 3,699.24 : x
  2. Step 2: Convert to fraction form
    6,493.80/8,961.54 = 3,699.24/x
  3. Step 3: Cross multiply
    6,493.80x = 8,961.54 × 3,699.24
  4. Step 4: Simplify right side
    6,493.80x = 33,150,887.23
  5. Step 5: Solve for x
    x = 33,150,887.23/6,493.80
  6. Step 6: Final answer
    x = 5,105.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.