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Finding the Fourth Proportional to 6,568.10, 9,852.15 and 6,179.30

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Solution

The fourth proportional to 6,568.10, 9,852.15 and 6,179.30 is: 9,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.10 : 9,852.15 = 6,179.30 : x
  2. Step 2: Convert to fraction form
    6,568.10/9,852.15 = 6,179.30/x
  3. Step 3: Cross multiply
    6,568.10x = 9,852.15 × 6,179.30
  4. Step 4: Simplify right side
    6,568.10x = 60,879,390.50
  5. Step 5: Solve for x
    x = 60,879,390.50/6,568.10
  6. Step 6: Final answer
    x = 9,268.95

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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.