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Finding the Fourth Proportional to 4,704.75, 7,043.25 and 3,477.63

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Solution

The fourth proportional to 4,704.75, 7,043.25 and 3,477.63 is: 5,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.75 : 7,043.25 = 3,477.63 : x
  2. Step 2: Convert to fraction form
    4,704.75/7,043.25 = 3,477.63/x
  3. Step 3: Cross multiply
    4,704.75x = 7,043.25 × 3,477.63
  4. Step 4: Simplify right side
    4,704.75x = 24,493,817.50
  5. Step 5: Solve for x
    x = 24,493,817.50/4,704.75
  6. Step 6: Final answer
    x = 5,206.19

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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.