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Finding the Fourth Proportional to 6,027.62, 9,041.42 and 1,645.11

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Solution

The fourth proportional to 6,027.62, 9,041.42 and 1,645.11 is: 2,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.62 : 9,041.42 = 1,645.11 : x
  2. Step 2: Convert to fraction form
    6,027.62/9,041.42 = 1,645.11/x
  3. Step 3: Cross multiply
    6,027.62x = 9,041.42 × 1,645.11
  4. Step 4: Simplify right side
    6,027.62x = 14,874,134.57
  5. Step 5: Solve for x
    x = 14,874,134.57/6,027.62
  6. Step 6: Final answer
    x = 2,467.67

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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.