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Finding the Fourth Proportional to 6,401.80, 9,602.70 and 5,462.20

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Solution

The fourth proportional to 6,401.80, 9,602.70 and 5,462.20 is: 8,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.80 : 9,602.70 = 5,462.20 : x
  2. Step 2: Convert to fraction form
    6,401.80/9,602.70 = 5,462.20/x
  3. Step 3: Cross multiply
    6,401.80x = 9,602.70 × 5,462.20
  4. Step 4: Simplify right side
    6,401.80x = 52,451,867.94
  5. Step 5: Solve for x
    x = 52,451,867.94/6,401.80
  6. Step 6: Final answer
    x = 8,193.30

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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.