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Finding the Fourth Proportional to 6,853.01, 10,279.51 and 1,658.88

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Solution

The fourth proportional to 6,853.01, 10,279.51 and 1,658.88 is: 2,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.01 : 10,279.51 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    6,853.01/10,279.51 = 1,658.88/x
  3. Step 3: Cross multiply
    6,853.01x = 10,279.51 × 1,658.88
  4. Step 4: Simplify right side
    6,853.01x = 17,052,469.40
  5. Step 5: Solve for x
    x = 17,052,469.40/6,853.01
  6. Step 6: Final answer
    x = 2,488.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.