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Finding the Fourth Proportional to 5,114.70, 7,671.09 and 1,416.44

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Solution

The fourth proportional to 5,114.70, 7,671.09 and 1,416.44 is: 2,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.70 : 7,671.09 = 1,416.44 : x
  2. Step 2: Convert to fraction form
    5,114.70/7,671.09 = 1,416.44/x
  3. Step 3: Cross multiply
    5,114.70x = 7,671.09 × 1,416.44
  4. Step 4: Simplify right side
    5,114.70x = 10,865,600.36
  5. Step 5: Solve for x
    x = 10,865,600.36/5,114.70
  6. Step 6: Final answer
    x = 2,124.39

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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.