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Finding the Fourth Proportional to 10,907.82, 16,340.85 and 8,944.14

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Solution

The fourth proportional to 10,907.82, 16,340.85 and 8,944.14 is: 13,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.82 : 16,340.85 = 8,944.14 : x
  2. Step 2: Convert to fraction form
    10,907.82/16,340.85 = 8,944.14/x
  3. Step 3: Cross multiply
    10,907.82x = 16,340.85 × 8,944.14
  4. Step 4: Simplify right side
    10,907.82x = 146,154,850.12
  5. Step 5: Solve for x
    x = 146,154,850.12/10,907.82
  6. Step 6: Final answer
    x = 13,399.09

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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.