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Finding the Fourth Proportional to 6,461.75, 9,698.16 and 2,568.89

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Solution

The fourth proportional to 6,461.75, 9,698.16 and 2,568.89 is: 3,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.75 : 9,698.16 = 2,568.89 : x
  2. Step 2: Convert to fraction form
    6,461.75/9,698.16 = 2,568.89/x
  3. Step 3: Cross multiply
    6,461.75x = 9,698.16 × 2,568.89
  4. Step 4: Simplify right side
    6,461.75x = 24,913,506.24
  5. Step 5: Solve for x
    x = 24,913,506.24/6,461.75
  6. Step 6: Final answer
    x = 3,855.54

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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.