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Finding the Fourth Proportional to 6,451.65, 9,676.13 and 2,291.79

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Solution

The fourth proportional to 6,451.65, 9,676.13 and 2,291.79 is: 3,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.65 : 9,676.13 = 2,291.79 : x
  2. Step 2: Convert to fraction form
    6,451.65/9,676.13 = 2,291.79/x
  3. Step 3: Cross multiply
    6,451.65x = 9,676.13 × 2,291.79
  4. Step 4: Simplify right side
    6,451.65x = 22,175,646.51
  5. Step 5: Solve for x
    x = 22,175,646.51/6,451.65
  6. Step 6: Final answer
    x = 3,437.21

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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.