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Finding the Fourth Proportional to 6,199.54, 8,549.49 and 4,944.70

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Solution

The fourth proportional to 6,199.54, 8,549.49 and 4,944.70 is: 6,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.54 : 8,549.49 = 4,944.70 : x
  2. Step 2: Convert to fraction form
    6,199.54/8,549.49 = 4,944.70/x
  3. Step 3: Cross multiply
    6,199.54x = 8,549.49 × 4,944.70
  4. Step 4: Simplify right side
    6,199.54x = 42,274,663.20
  5. Step 5: Solve for x
    x = 42,274,663.20/6,199.54
  6. Step 6: Final answer
    x = 6,819.00

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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.