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Finding the Fourth Proportional to 7,874.11, 11,809.54 and 3,488.77

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Solution

The fourth proportional to 7,874.11, 11,809.54 and 3,488.77 is: 5,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.11 : 11,809.54 = 3,488.77 : x
  2. Step 2: Convert to fraction form
    7,874.11/11,809.54 = 3,488.77/x
  3. Step 3: Cross multiply
    7,874.11x = 11,809.54 × 3,488.77
  4. Step 4: Simplify right side
    7,874.11x = 41,200,692.37
  5. Step 5: Solve for x
    x = 41,200,692.37/7,874.11
  6. Step 6: Final answer
    x = 5,232.43

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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.