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Finding the Fourth Proportional to 6,676.44, 9,211.50 and 4,024.64

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Solution

The fourth proportional to 6,676.44, 9,211.50 and 4,024.64 is: 5,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.44 : 9,211.50 = 4,024.64 : x
  2. Step 2: Convert to fraction form
    6,676.44/9,211.50 = 4,024.64/x
  3. Step 3: Cross multiply
    6,676.44x = 9,211.50 × 4,024.64
  4. Step 4: Simplify right side
    6,676.44x = 37,072,925.30
  5. Step 5: Solve for x
    x = 37,072,925.30/6,676.44
  6. Step 6: Final answer
    x = 5,552.80

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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.