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Finding the Fourth Proportional to 5,129.67, 7,694.42 and 1,666.92

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Solution

The fourth proportional to 5,129.67, 7,694.42 and 1,666.92 is: 2,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.67 : 7,694.42 = 1,666.92 : x
  2. Step 2: Convert to fraction form
    5,129.67/7,694.42 = 1,666.92/x
  3. Step 3: Cross multiply
    5,129.67x = 7,694.42 × 1,666.92
  4. Step 4: Simplify right side
    5,129.67x = 12,825,974.25
  5. Step 5: Solve for x
    x = 12,825,974.25/5,129.67
  6. Step 6: Final answer
    x = 2,500.35

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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.