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Finding the Fourth Proportional to 6,893.67, 9,511.66 and 4,021.95

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Solution

The fourth proportional to 6,893.67, 9,511.66 and 4,021.95 is: 5,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.67 : 9,511.66 = 4,021.95 : x
  2. Step 2: Convert to fraction form
    6,893.67/9,511.66 = 4,021.95/x
  3. Step 3: Cross multiply
    6,893.67x = 9,511.66 × 4,021.95
  4. Step 4: Simplify right side
    6,893.67x = 38,255,461.63
  5. Step 5: Solve for x
    x = 38,255,461.63/6,893.67
  6. Step 6: Final answer
    x = 5,549.36

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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.