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Finding the Fourth Proportional to 6,647.01, 9,972.81 and 2,951.84

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Solution

The fourth proportional to 6,647.01, 9,972.81 and 2,951.84 is: 4,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.01 : 9,972.81 = 2,951.84 : x
  2. Step 2: Convert to fraction form
    6,647.01/9,972.81 = 2,951.84/x
  3. Step 3: Cross multiply
    6,647.01x = 9,972.81 × 2,951.84
  4. Step 4: Simplify right side
    6,647.01x = 29,438,089.61
  5. Step 5: Solve for x
    x = 29,438,089.61/6,647.01
  6. Step 6: Final answer
    x = 4,428.77

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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.