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Finding the Fourth Proportional to 6,476.90, 9,712.22 and 2,965.82

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Solution

The fourth proportional to 6,476.90, 9,712.22 and 2,965.82 is: 4,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.90 : 9,712.22 = 2,965.82 : x
  2. Step 2: Convert to fraction form
    6,476.90/9,712.22 = 2,965.82/x
  3. Step 3: Cross multiply
    6,476.90x = 9,712.22 × 2,965.82
  4. Step 4: Simplify right side
    6,476.90x = 28,804,696.32
  5. Step 5: Solve for x
    x = 28,804,696.32/6,476.90
  6. Step 6: Final answer
    x = 4,447.30

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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.