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Finding the Fourth Proportional to 6,479.95, 9,712.56 and 2,780.29

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Solution

The fourth proportional to 6,479.95, 9,712.56 and 2,780.29 is: 4,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.95 : 9,712.56 = 2,780.29 : x
  2. Step 2: Convert to fraction form
    6,479.95/9,712.56 = 2,780.29/x
  3. Step 3: Cross multiply
    6,479.95x = 9,712.56 × 2,780.29
  4. Step 4: Simplify right side
    6,479.95x = 27,003,733.44
  5. Step 5: Solve for x
    x = 27,003,733.44/6,479.95
  6. Step 6: Final answer
    x = 4,167.27

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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.