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Finding the Fourth Proportional to 4,497.72, 6,748.44 and 2,416.44

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Solution

The fourth proportional to 4,497.72, 6,748.44 and 2,416.44 is: 3,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.72 : 6,748.44 = 2,416.44 : x
  2. Step 2: Convert to fraction form
    4,497.72/6,748.44 = 2,416.44/x
  3. Step 3: Cross multiply
    4,497.72x = 6,748.44 × 2,416.44
  4. Step 4: Simplify right side
    4,497.72x = 16,307,200.35
  5. Step 5: Solve for x
    x = 16,307,200.35/4,497.72
  6. Step 6: Final answer
    x = 3,625.66

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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.