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Finding the Fourth Proportional to 5,049.94, 7,546.76 and 4,769.14

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Solution

The fourth proportional to 5,049.94, 7,546.76 and 4,769.14 is: 7,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.94 : 7,546.76 = 4,769.14 : x
  2. Step 2: Convert to fraction form
    5,049.94/7,546.76 = 4,769.14/x
  3. Step 3: Cross multiply
    5,049.94x = 7,546.76 × 4,769.14
  4. Step 4: Simplify right side
    5,049.94x = 35,991,554.99
  5. Step 5: Solve for x
    x = 35,991,554.99/5,049.94
  6. Step 6: Final answer
    x = 7,127.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.