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Finding the Fourth Proportional to 6,683.85, 10,027.17 and 2,003.67

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Solution

The fourth proportional to 6,683.85, 10,027.17 and 2,003.67 is: 3,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.85 : 10,027.17 = 2,003.67 : x
  2. Step 2: Convert to fraction form
    6,683.85/10,027.17 = 2,003.67/x
  3. Step 3: Cross multiply
    6,683.85x = 10,027.17 × 2,003.67
  4. Step 4: Simplify right side
    6,683.85x = 20,091,139.71
  5. Step 5: Solve for x
    x = 20,091,139.71/6,683.85
  6. Step 6: Final answer
    x = 3,005.92

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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.