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Finding the Fourth Proportional to 6,352.54, 8,765.44 and 3,993

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Solution

The fourth proportional to 6,352.54, 8,765.44 and 3,993 is: 5,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.54 : 8,765.44 = 3,993 : x
  2. Step 2: Convert to fraction form
    6,352.54/8,765.44 = 3,993/x
  3. Step 3: Cross multiply
    6,352.54x = 8,765.44 × 3,993
  4. Step 4: Simplify right side
    6,352.54x = 35,000,401.92
  5. Step 5: Solve for x
    x = 35,000,401.92/6,352.54
  6. Step 6: Final answer
    x = 5,509.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.