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Finding the Fourth Proportional to 5,576.68, 7,691.79 and 4,736.06

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Solution

The fourth proportional to 5,576.68, 7,691.79 and 4,736.06 is: 6,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.68 : 7,691.79 = 4,736.06 : x
  2. Step 2: Convert to fraction form
    5,576.68/7,691.79 = 4,736.06/x
  3. Step 3: Cross multiply
    5,576.68x = 7,691.79 × 4,736.06
  4. Step 4: Simplify right side
    5,576.68x = 36,428,778.95
  5. Step 5: Solve for x
    x = 36,428,778.95/5,576.68
  6. Step 6: Final answer
    x = 6,532.34

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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.