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Finding the Fourth Proportional to 6,568.30, 9,846.90 and 3,056.49

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Solution

The fourth proportional to 6,568.30, 9,846.90 and 3,056.49 is: 4,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.30 : 9,846.90 = 3,056.49 : x
  2. Step 2: Convert to fraction form
    6,568.30/9,846.90 = 3,056.49/x
  3. Step 3: Cross multiply
    6,568.30x = 9,846.90 × 3,056.49
  4. Step 4: Simplify right side
    6,568.30x = 30,096,951.38
  5. Step 5: Solve for x
    x = 30,096,951.38/6,568.30
  6. Step 6: Final answer
    x = 4,582.15

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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.