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Finding the Fourth Proportional to 5,461.67, 8,192.67 and 1,713.83

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Solution

The fourth proportional to 5,461.67, 8,192.67 and 1,713.83 is: 2,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.67 : 8,192.67 = 1,713.83 : x
  2. Step 2: Convert to fraction form
    5,461.67/8,192.67 = 1,713.83/x
  3. Step 3: Cross multiply
    5,461.67x = 8,192.67 × 1,713.83
  4. Step 4: Simplify right side
    5,461.67x = 14,040,843.63
  5. Step 5: Solve for x
    x = 14,040,843.63/5,461.67
  6. Step 6: Final answer
    x = 2,570.80

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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.