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Finding the Fourth Proportional to 4,676.64, 6,453.24 and 2,580.24

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Solution

The fourth proportional to 4,676.64, 6,453.24 and 2,580.24 is: 3,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.64 : 6,453.24 = 2,580.24 : x
  2. Step 2: Convert to fraction form
    4,676.64/6,453.24 = 2,580.24/x
  3. Step 3: Cross multiply
    4,676.64x = 6,453.24 × 2,580.24
  4. Step 4: Simplify right side
    4,676.64x = 16,650,907.98
  5. Step 5: Solve for x
    x = 16,650,907.98/4,676.64
  6. Step 6: Final answer
    x = 3,560.44

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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.