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Finding the Fourth Proportional to 8,030.40, 11,082 and 4,493.67

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Solution

The fourth proportional to 8,030.40, 11,082 and 4,493.67 is: 6,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.40 : 11,082 = 4,493.67 : x
  2. Step 2: Convert to fraction form
    8,030.40/11,082 = 4,493.67/x
  3. Step 3: Cross multiply
    8,030.40x = 11,082 × 4,493.67
  4. Step 4: Simplify right side
    8,030.40x = 49,798,850.94
  5. Step 5: Solve for x
    x = 49,798,850.94/8,030.40
  6. Step 6: Final answer
    x = 6,201.29

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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.