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Finding the Fourth Proportional to 4,477.63, 6,713.84 and 1,704.49

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Solution

The fourth proportional to 4,477.63, 6,713.84 and 1,704.49 is: 2,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.63 : 6,713.84 = 1,704.49 : x
  2. Step 2: Convert to fraction form
    4,477.63/6,713.84 = 1,704.49/x
  3. Step 3: Cross multiply
    4,477.63x = 6,713.84 × 1,704.49
  4. Step 4: Simplify right side
    4,477.63x = 11,443,688.80
  5. Step 5: Solve for x
    x = 11,443,688.80/4,477.63
  6. Step 6: Final answer
    x = 2,555.75

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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.