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Finding the Fourth Proportional to 4,964.24, 7,447.44 and 1,676.72

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Solution

The fourth proportional to 4,964.24, 7,447.44 and 1,676.72 is: 2,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.24 : 7,447.44 = 1,676.72 : x
  2. Step 2: Convert to fraction form
    4,964.24/7,447.44 = 1,676.72/x
  3. Step 3: Cross multiply
    4,964.24x = 7,447.44 × 1,676.72
  4. Step 4: Simplify right side
    4,964.24x = 12,487,271.60
  5. Step 5: Solve for x
    x = 12,487,271.60/4,964.24
  6. Step 6: Final answer
    x = 2,515.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.