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Finding the Fourth Proportional to 5,114.66, 7,671.76 and 1,604.58

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Solution

The fourth proportional to 5,114.66, 7,671.76 and 1,604.58 is: 2,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.66 : 7,671.76 = 1,604.58 : x
  2. Step 2: Convert to fraction form
    5,114.66/7,671.76 = 1,604.58/x
  3. Step 3: Cross multiply
    5,114.66x = 7,671.76 × 1,604.58
  4. Step 4: Simplify right side
    5,114.66x = 12,309,919.88
  5. Step 5: Solve for x
    x = 12,309,919.88/5,114.66
  6. Step 6: Final answer
    x = 2,406.79

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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.