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Finding the Fourth Proportional to 6,495.88, 8,964.29 and 3,511.71

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Solution

The fourth proportional to 6,495.88, 8,964.29 and 3,511.71 is: 4,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.88 : 8,964.29 = 3,511.71 : x
  2. Step 2: Convert to fraction form
    6,495.88/8,964.29 = 3,511.71/x
  3. Step 3: Cross multiply
    6,495.88x = 8,964.29 × 3,511.71
  4. Step 4: Simplify right side
    6,495.88x = 31,480,001.07
  5. Step 5: Solve for x
    x = 31,480,001.07/6,495.88
  6. Step 6: Final answer
    x = 4,846.15

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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.