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Finding the Fourth Proportional to 5,676.17, 7,824.57 and 4,479.09

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Solution

The fourth proportional to 5,676.17, 7,824.57 and 4,479.09 is: 6,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.17 : 7,824.57 = 4,479.09 : x
  2. Step 2: Convert to fraction form
    5,676.17/7,824.57 = 4,479.09/x
  3. Step 3: Cross multiply
    5,676.17x = 7,824.57 × 4,479.09
  4. Step 4: Simplify right side
    5,676.17x = 35,046,953.24
  5. Step 5: Solve for x
    x = 35,046,953.24/5,676.17
  6. Step 6: Final answer
    x = 6,174.41

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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.