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Finding the Fourth Proportional to 8,977.87, 13,424.05 and 8,193.62

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Solution

The fourth proportional to 8,977.87, 13,424.05 and 8,193.62 is: 12,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.87 : 13,424.05 = 8,193.62 : x
  2. Step 2: Convert to fraction form
    8,977.87/13,424.05 = 8,193.62/x
  3. Step 3: Cross multiply
    8,977.87x = 13,424.05 × 8,193.62
  4. Step 4: Simplify right side
    8,977.87x = 109,991,577.64
  5. Step 5: Solve for x
    x = 109,991,577.64/8,977.87
  6. Step 6: Final answer
    x = 12,251.41

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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.