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Finding the Fourth Proportional to 6,262.58, 9,394.58 and 2,102.88

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Solution

The fourth proportional to 6,262.58, 9,394.58 and 2,102.88 is: 3,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.58 : 9,394.58 = 2,102.88 : x
  2. Step 2: Convert to fraction form
    6,262.58/9,394.58 = 2,102.88/x
  3. Step 3: Cross multiply
    6,262.58x = 9,394.58 × 2,102.88
  4. Step 4: Simplify right side
    6,262.58x = 19,755,679.65
  5. Step 5: Solve for x
    x = 19,755,679.65/6,262.58
  6. Step 6: Final answer
    x = 3,154.56

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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.