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Finding the Fourth Proportional to 6,855.98, 9,462.02 and 5,734.94

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Solution

The fourth proportional to 6,855.98, 9,462.02 and 5,734.94 is: 7,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.98 : 9,462.02 = 5,734.94 : x
  2. Step 2: Convert to fraction form
    6,855.98/9,462.02 = 5,734.94/x
  3. Step 3: Cross multiply
    6,855.98x = 9,462.02 × 5,734.94
  4. Step 4: Simplify right side
    6,855.98x = 54,264,040.99
  5. Step 5: Solve for x
    x = 54,264,040.99/6,855.98
  6. Step 6: Final answer
    x = 7,914.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.