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Finding the Fourth Proportional to 6,503.92, 8,974.84 and 3,850.88

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Solution

The fourth proportional to 6,503.92, 8,974.84 and 3,850.88 is: 5,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.92 : 8,974.84 = 3,850.88 : x
  2. Step 2: Convert to fraction form
    6,503.92/8,974.84 = 3,850.88/x
  3. Step 3: Cross multiply
    6,503.92x = 8,974.84 × 3,850.88
  4. Step 4: Simplify right side
    6,503.92x = 34,561,031.86
  5. Step 5: Solve for x
    x = 34,561,031.86/6,503.92
  6. Step 6: Final answer
    x = 5,313.88

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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.