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Finding the Fourth Proportional to 6,401.92, 9,604.48 and 2,297.92

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Solution

The fourth proportional to 6,401.92, 9,604.48 and 2,297.92 is: 3,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.92 : 9,604.48 = 2,297.92 : x
  2. Step 2: Convert to fraction form
    6,401.92/9,604.48 = 2,297.92/x
  3. Step 3: Cross multiply
    6,401.92x = 9,604.48 × 2,297.92
  4. Step 4: Simplify right side
    6,401.92x = 22,070,326.68
  5. Step 5: Solve for x
    x = 22,070,326.68/6,401.92
  6. Step 6: Final answer
    x = 3,447.45

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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.