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Finding the Fourth Proportional to 6,402.67, 9,601.78 and 2,242.58

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Solution

The fourth proportional to 6,402.67, 9,601.78 and 2,242.58 is: 3,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.67 : 9,601.78 = 2,242.58 : x
  2. Step 2: Convert to fraction form
    6,402.67/9,601.78 = 2,242.58/x
  3. Step 3: Cross multiply
    6,402.67x = 9,601.78 × 2,242.58
  4. Step 4: Simplify right side
    6,402.67x = 21,532,748.58
  5. Step 5: Solve for x
    x = 21,532,748.58/6,402.67
  6. Step 6: Final answer
    x = 3,363.09

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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.