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Finding the Fourth Proportional to 6,602.45, 9,894.20 and 3,971.03

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Solution

The fourth proportional to 6,602.45, 9,894.20 and 3,971.03 is: 5,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.45 : 9,894.20 = 3,971.03 : x
  2. Step 2: Convert to fraction form
    6,602.45/9,894.20 = 3,971.03/x
  3. Step 3: Cross multiply
    6,602.45x = 9,894.20 × 3,971.03
  4. Step 4: Simplify right side
    6,602.45x = 39,290,095.70
  5. Step 5: Solve for x
    x = 39,290,095.70/6,602.45
  6. Step 6: Final answer
    x = 5,950.84

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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.