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Finding the Fourth Proportional to 6,465.84, 9,690.92 and 2,951.03

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Solution

The fourth proportional to 6,465.84, 9,690.92 and 2,951.03 is: 4,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.84 : 9,690.92 = 2,951.03 : x
  2. Step 2: Convert to fraction form
    6,465.84/9,690.92 = 2,951.03/x
  3. Step 3: Cross multiply
    6,465.84x = 9,690.92 × 2,951.03
  4. Step 4: Simplify right side
    6,465.84x = 28,598,132.44
  5. Step 5: Solve for x
    x = 28,598,132.44/6,465.84
  6. Step 6: Final answer
    x = 4,422.96

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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.