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Finding the Fourth Proportional to 6,568.96, 9,074.04 and 5,251.96

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Solution

The fourth proportional to 6,568.96, 9,074.04 and 5,251.96 is: 7,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.96 : 9,074.04 = 5,251.96 : x
  2. Step 2: Convert to fraction form
    6,568.96/9,074.04 = 5,251.96/x
  3. Step 3: Cross multiply
    6,568.96x = 9,074.04 × 5,251.96
  4. Step 4: Simplify right side
    6,568.96x = 47,656,495.12
  5. Step 5: Solve for x
    x = 47,656,495.12/6,568.96
  6. Step 6: Final answer
    x = 7,254.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.