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Finding the Fourth Proportional to 6,566.73, 9,063.81 and 3,735.77

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Solution

The fourth proportional to 6,566.73, 9,063.81 and 3,735.77 is: 5,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.73 : 9,063.81 = 3,735.77 : x
  2. Step 2: Convert to fraction form
    6,566.73/9,063.81 = 3,735.77/x
  3. Step 3: Cross multiply
    6,566.73x = 9,063.81 × 3,735.77
  4. Step 4: Simplify right side
    6,566.73x = 33,860,264.16
  5. Step 5: Solve for x
    x = 33,860,264.16/6,566.73
  6. Step 6: Final answer
    x = 5,156.34

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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.