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Finding the Fourth Proportional to 6,520.82, 9,782.87 and 1,903.82

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Solution

The fourth proportional to 6,520.82, 9,782.87 and 1,903.82 is: 2,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.82 : 9,782.87 = 1,903.82 : x
  2. Step 2: Convert to fraction form
    6,520.82/9,782.87 = 1,903.82/x
  3. Step 3: Cross multiply
    6,520.82x = 9,782.87 × 1,903.82
  4. Step 4: Simplify right side
    6,520.82x = 18,624,765.13
  5. Step 5: Solve for x
    x = 18,624,765.13/6,520.82
  6. Step 6: Final answer
    x = 2,856.20

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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.