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Finding the Fourth Proportional to 6,654.34, 9,982.08 and 1,723.92

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Solution

The fourth proportional to 6,654.34, 9,982.08 and 1,723.92 is: 2,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.34 : 9,982.08 = 1,723.92 : x
  2. Step 2: Convert to fraction form
    6,654.34/9,982.08 = 1,723.92/x
  3. Step 3: Cross multiply
    6,654.34x = 9,982.08 × 1,723.92
  4. Step 4: Simplify right side
    6,654.34x = 17,208,307.35
  5. Step 5: Solve for x
    x = 17,208,307.35/6,654.34
  6. Step 6: Final answer
    x = 2,586.03

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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.