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Finding the Fourth Proportional to 3,249.97, 4,874.90 and 784.77

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Solution

The fourth proportional to 3,249.97, 4,874.90 and 784.77 is: 1,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.97 : 4,874.90 = 784.77 : x
  2. Step 2: Convert to fraction form
    3,249.97/4,874.90 = 784.77/x
  3. Step 3: Cross multiply
    3,249.97x = 4,874.90 × 784.77
  4. Step 4: Simplify right side
    3,249.97x = 3,825,677.23
  5. Step 5: Solve for x
    x = 3,825,677.23/3,249.97
  6. Step 6: Final answer
    x = 1,177.14

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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.