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Finding the Fourth Proportional to 4,683.70, 7,037.70 and 4,149.10

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Solution

The fourth proportional to 4,683.70, 7,037.70 and 4,149.10 is: 6,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.70 : 7,037.70 = 4,149.10 : x
  2. Step 2: Convert to fraction form
    4,683.70/7,037.70 = 4,149.10/x
  3. Step 3: Cross multiply
    4,683.70x = 7,037.70 × 4,149.10
  4. Step 4: Simplify right side
    4,683.70x = 29,200,121.07
  5. Step 5: Solve for x
    x = 29,200,121.07/4,683.70
  6. Step 6: Final answer
    x = 6,234.41

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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.